Will someone like please help me on my math ;(
What is the recursive formula for this sequence?
10, 14, 18, 22, 26....?!!?!

Will Someone Like Please Help Me On My Math ;( What Is The Recursive Formula For This Sequence? 10, 14,

Answers

Answer 1

Answer:

option A

Step-by-step explanation:

The given Series:

10,14,18,22,26... is an Arithmetic Progression.

Concept:

The difference between consecutive numbers always remains the same.

For instance:

14 - 10 = 18 - 14 = 22 - 18 = 4

This difference is known as the common difference.

In an A.P., the nth (an) term of a series can be found out by:

[tex] \boxed{ \sf{a _{n} = a + (n - 1)d}}[/tex]

Here,

an is the nth terma is the first term of the series = 10n is the number of termsd is the common difference = 4

[Don't get confused by (n- 1), it's simply the number of terms - 1. If the number of terms, somehow, is (n - 1) itself, your formula will be an = a + ((n - 1) -1)d]

Soltution:

The first term of the given Series is 10.

==> a1 = 10

Finding an:

the nth term will be:

an = 10 + (n - 1)4

==> 10 + 4n - 4

==> 6 + 4n

Strategy:

All the given options have an and a(n-1). So we have to deduce a relation between an and a(n- 1).

Finding a(n-1):

==> a(n-1) = 10 + ((n - 1) -1)4

= 10 + (n- 2)4

= 10 + 4n - 8

= 4n + 2

Subtracting a(n-1) from an:

==> an - a(n-1) = 6 + 4n - (4n + 2)

==> an - a(n-1) = 6 + 4n - 4n - 2

==> an - a(n-1) = 4

==> an = 4 + a(n-1)

Hence, option A is the answer.


Related Questions

The sum of twice a number and 5 is 25

Answers

Answer:

If the directions say write an equation: 2n + 5 =25

If the directions say also to solve the equation and find the number: 10

Step-by-step explanation:

"The sum" means we're using adding. So what things are we adding together? The question says "twice a number" and 5. Well we've got the 5. And "twice" means two times. And "a number" means we don't know the number yet, so we choose a variable, like n.

"Twice a number" can be written 2n.

So far we have:

2n + 5 is 25

We use = for the "is" in this sentence.

2n + 5 = 25

Now we can solve it.

Subtract 5 from both sides.

2n = 20

Divide by 2 on both sides.

2n/2 = 20/2

n = 10

The number is 10.

What is the most simplified expression that is equivalent to (5y)^2. (16y^4)^1/2

Answers

The most simplified expression for [tex](5y)^2(16y^4)^{\frac{1}{2}[/tex] is [tex]100y^4[/tex]

The given expression is:

[tex](5y)^2(16y^4)^{\frac{1}{2}[/tex]

Expand the expression using the laws of indices

[tex]5^2y^2 \times 16^{\frac{1}{2}}y^{\frac{4}{2}\\\\[/tex]

[tex]25y^2 \times 4y^2[/tex]

Multiply like terms

[tex](25 \times 4)y^{2+2}[/tex]

The resulting expression is:

[tex]100y^4[/tex]

Therefore, the most simplified expression for [tex](5y)^2(16y^4)^{\frac{1}{2}[/tex] is [tex]100y^4[/tex]

Learn more on indices here: https://brainly.com/question/10339517

What is the slope and and y-int of y≤3

Answers

Answer:

0

I hope this is the correct answer

Answer: Slope = 0, y-intercept = 3

Step-by-step explanation:

The inequality is a horizontal line, where everything below 3 is agrees with the inequality

The slope of any flat line is 0, and the y-intercept is always the constant (y=mx+b) in slope-intercept form, in this case it is 3

solve 7e^(2x)-5>58. Round to the nearest hundredth.

Answers

Answer:

[tex]x\gtrapprox1.1[/tex]

Step-by-step explanation:

[tex]7e^{2x}-5>58[/tex]

[tex]7e^{2x}>63[/tex]

[tex]e^{2x}>9[/tex]

[tex]2x>ln(9)[/tex]

[tex]x>\frac{ln(9)}{2}[/tex]

[tex]x\gtrapprox1.1[/tex]

The equation y=1/8xrelates proportional quantities x and y. What is the value of x when y is 6?

Answers

Answer:

48

Step-by-step explanation:

6 = 1/8x

x = 48

If x=a sintheta and y=bcostheta, show that (b^2)(x^2)+(a^2)(y^2)=(a^2)(b^2)a​

Answers

The answer is a
2
b
2

Please help (Math)......

Answers

[tex]|x|^2 -2|x|-3=0\\\\\implies |x|^2 - 3|x| + |x| - 3 =0\\\\\implies |x|(|x| -3) + (|x| -3) = 0\\\\\implies (|x| - 3)(|x| +1) =0\\\\\implies |x| -3 = 0~~ \text{Or} ~~ |x| +1 =0\\\\\implies |x| = 3 ~~ \text{Or}~~ |x| = -1;\\\\\text{For}~ |x|= -1 ,~\text{ there are no solution for } x \in \mathbb{R}\\\\\text{So,}\\\\|x| = 3 \implies x = \pm 3[/tex]

what does 1/4 divided by 1/10 equal

Answers

Answer: 2/5

Step-by-step explanation: hope it helps

Subtract. Use models if needed. (9x - 12) - (5x - 7)

Answers

[tex](9x - 12) - (5x - 7)\\\\=9x-12-5x+7\\\\=4x-5[/tex]

Consider the equation.
8x - 16y = - 14

The equation representing a line that is parallel to the line given and passing through the point (3, 0) is y= ___ x + ___

Answers

Answer:

[tex]y= \frac{1}{2}x+3[/tex]

Step-by-step explanation:

Rearrange equation to isolate y variable.

[tex]16y=8x+14[/tex]

Divide by 16 on both sides.

[tex]y=\frac{1}{2} x+7[/tex].

To make the line parallel to the given equation and pass through (3,0),

we will move the y intercept to 3.

[tex]y= \frac{1}{2}x+3[/tex]

Simplify x⁷y⁹ ÷ x³y⁶

Answers

X^4 y^3
...............

Plz help me with this

Answers

Answer:

C = 11.18

Step-by-step explanation:

You're trying to find c's value, right?

For triangles, a^2 + b^2 = c^2

What you want to do is replace the values into the formula.

A = 5

B = 10

5^2 + 10^2 = c^2

(^2 means squared by the way if you don't know)

Square the values.

25 + 100 = c^2

125 = c^2

You then have to find the root value of 125. What number squared equals 125?

Using a calculator, you would find the number is 11.18.

So, the value of c is 11.18

Please let me know if that wasn't what the question was asking and I'll try to help :)


Help me pls right now I give brainliest

Answers

Answer:

4 + (2 x 3)^2

Step-by-step explanation:

4 + 6^2

4 + 36

40

What is k(-8) when given the function
k(x) = x +5 – 2x2?

Answers

By the way, the typed out question is not proper. Be sure to be clear on signs, like absolute value.

Absolute value of -8+5 is 3. This is because -3 is turned positive due to | |

(-8)^2 = 64
Multiply 64*2, equal to 128

Then solve. — 64-128= -64

-64 is the answer

please help

thank you!

Answers

The answer is B, it shows a reflection.
You can see both of the arrows on the y axis going in the same direction.

ILL MARK BRAINLIEST PLEASE HELP! Solve and graph its solution:

In 2005, the average cost of a 32" flat-screen TV was $1,700. In 2015, the average cost of a 32" flat-screen TV was $550. Assuming those were the least and greatest costs during that period, write a compound inequality that describes the cost c of a 32" flat-screen TV between 2005 and 2015.

Answers

Answer:x < 1,700. ×> 550

Step-by-step explanation:

Answer:AHHHH

Step-by-step explanation:

thank you in advance to whoever answers this question !!!!

Answers

It seems to be the answer B.

If 5 20 times 2 Superscript 2 minus 3 x Baseline = 10 times 2 Superscript negative 2 x Baseline 5, what is the value of x? â€"3 â€"2 2 3.

Answers

The value of x is 3.

Given that,

If  [tex]5 + 20 \times 2^{2-3x}[/tex],

And Baseline = [tex]10 \times 2^{-2x}+5[/tex]

We have to find,

The value of x?

According to the question,

To determine the value of x in the equation following all the steps given below.

Equation; [tex]\rm 5 + 20 \times 2^{2-3x} = 10 \times 2^{-2x}+5[/tex]

Step1; Subtract 5 from both sides,

                   [tex]\rm5- 5 + 20 \times 2^{2-3x} = 10 \times 2^{-2x}+5-5\\\\\rm 20 \times 2^{2-3x} = 10 \times 2^{-2x}[/tex]

Step2; Divided by 10 on both sides,

                    [tex]\rm 20 \times 2^{2-3x} = 10 \times 2^{-2x}\\\\\dfrac{ 20 \times 2^{2-3x} }{10}= \dfrac{10 \times 2^{-2x}}{10}\\\\\rm 2 \times 2^{2-3x} = 2^{-2x}[/tex]

Step3; Rewrite the term into their power form and add the powers,

                   [tex]\rm 2 \times 2^{2-3x} = 2^{-2x}\\\\2^1 \times 2^{2-3x} = 2^{-2x}\\\\2^{2-3x+1} = 2^{-2x}\\\\[/tex]

Step4; The base is the same on both sides, we equate exponents,        

                    [tex]\rm 2-3x+1 = -2x\\\\-3x+2x = -1-2\\\\-x = -3\\\\x=3[/tex]

Hence, The required value of x is 3.

For more details about the Exponent refer to the link given below.

https://brainly.com/question/25959524

A cable is 40 decimeters long how long is the cable in meters and be sure to include the correct unit

Answers

Answer:

4 m

Step-by-step explanation:

1 m = 10 dm

1 dm = 0.1m

(pls brainliest)

If the two legs of one right triangle are congruent to the two legs of another right triangle, then the two triangles are congruent.
a) True
b) False

Answers

Answer:

Step-by-step explanation:

This only happens with right triangles. You need only 2 legs. The reason is that the two legs given are the arms of the right angle so secretly you are using SAS. The right angle is enclosed by the two legs, and that must be stated among your givens.

So the answer to the question is true.

1. Reduce the ratio to the simplest form:
a)5:10=_____.
b)60:54=____.

Answers

Answer:

1:2 by division of 5

10:9 by division of 6

A. 1:2

B. 10:9
have a great day

What is the equation of the oblique asymptote?
h(x) = x² – 3x - 4/x + 2

Answers

Simplifying h(x) gives

h(x) = (x² - 3x - 4) / (x + 2)

h(x) = ((x² + 4x + 4) - 4x - 4 - 3x - 4) / (x + 2)

h(x) = ((x + 2)² - 7x - 8) / (x + 2)

h(x) = ((x + 2)² - 7 (x + 2) - 14 - 8) / (x + 2)

h(x) = ((x + 2)² - 7 (x + 2) - 22) / (x + 2)

h(x) = (x + 2) - 7 - 22/(x + 2)

h(x) = x - 5 - 22/(x + 2)

An oblique asymptote of h(x) is a linear function p(x) = ax + b such that

[tex]\displaystyle \lim_{x\to\pm\infty} h(x) - p(x) = 0[/tex]

In the simplified form of h(x), taking the limit as x gets arbitrarily large, we obviously have -22/(x + 2) converging to 0, while x - 5 approaches either +∞ or -∞. If we let p(x) = x - 5, however, we do have h(x) - p(x) approaching 0. So the oblique asymptote is the line y = x - 5.

Help. Here's the question, could you please put the letter answer, please.

Answers

Answer:

A

Step-by-step explanation:

Five swimmers are entered into the competition. Four of the swimmers have had their turns. Their scores are 9.8s, 9.75s, 9.79s, and 9.81s. What score must the last swimmer get in order to win the competition?

Answers

Answer:

We must order these decimals from least to greatest. Then we must determine how the least compares with the winning score.

9.80 -> 3

9.75 -> 1

9.79 -> 2

9.81 -> 4

The least decimal is 9.75. Now we must determine how 9.75 compare with the winning score.

The last swimmer must get a score less than 9.75 s in order to win.

Step-by-step explanation:

Hopes this helps

Answer:

less than or equal to 9.74.

f(x) = -x^3+8x^2-15x
Domain:
Range: R
Rel. Maximum: X=3
Rel. Minimum(s): X2
End Behavior:
As x, f(x)
As x, f(x)
Incr. Intervals:
Zeros
Decr. Intervals

Answers

That's all I got hope it helps

What is 100X190
I give brainliest to the one who answers correctly.

Answers

Answer:

it is 19000 hope this helps!

Answer:

19,000

Step-by-step explanation:

Basically add 2 zeros to 190

Hope this helps!

Which one is not a function??

Answers

Answer:

The first one. All the x values are 2. So it wouldn't pass the vertical line test.

Step-by-step explanation:

Examine Kaitlyn’s steps for solving the system of equations. â€"3x 2y = 8 3x 2y = â€"6 Step 1: 4y = 2 Step 2: y = 2 Step 3: â€"3x 2(2) = 8 Step 4: â€"3x = 4 Step 5: x = â€"1. 333 Kaitlyn found the solution to be (1. 3, 2). Is her solution correct? Explain. Yes, she correctly solved the system of equations. No, she made an error in step 1. The y variable should have been eliminated when adding the system of equations. No, she made an error in step 2. She should have found y = 0. 5. No, she substituted y into the wrong equation to solve for x in step 3.

Answers

The error made by Kaitlyn when solving the system of equations is in step 2. Her solution will be incorrect.

The right option will be: No, she made an error in step 2. She should have found y = 0. 5.

Given the system of linear equations:

-3x + 2y = 8 ---> eqn. 1

3x + 2y = -6 ---> eqn. 1

First add both equations together:

Step 1: 4y = 2

Next, divide both sides by 4:

Step 2: y = 2/4

y = 0.5

Kaitlyn got y = 2 instead of 0.5 in this second step. The solution she would get will be incorrect since an error has occurred here.

Therefore, the error made by Kaitlyn when solving the system of equations is in step 2. Her solution will be incorrect.

The right option will be: No, she made an error in step 2. She should have found y = 0. 5.

Learn more about system of equations on:

https://brainly.com/question/11767839

Please help me solve this problem ASAP

Answers

Answer:

∠ = 130°

Step-by-step explanation:

They are vertical angles: a pair of opposite angles formed by intersecting lines. These two angles are considered congruent, which means they have exactly the same measure. So, you simply solve for x when they equal each other. Remember, both angles share the same measurement.

15x -5 = 13x + 13

5 + 15x - 5 = 13x + 13 + 5

13x - 15x = 13x + 18 - 13x

2 ÷ 2x = 18 ÷ 2

x = 9

Now you must put 9 in for x to solve the measurement of the angles.

15 (9) - 5 = 130°

13(9) + 13 = 130°

Both angles equal 130°, so you know you've done the math correctly.

the difference of a number and 7

Answers

Answer:

x-7

Step-by-step explanation:

Other Questions
Explain the difference between afferent and efferent neurons.will give brainliest where is this bridge nicknamed after a coat hanger? Essay on why soccer players should wear headgear Choisissez la bonne forme du verbe.David ____ avec nous.venir, viens, venit, vientViens ____ ici, Isabelle et Aurlie!Viens, Venez, Venir, Venissez A student makes an aqueous solution of sodium hydroxide. Which statement correctly identifies the two ions present in the solute of this mixture?A. The sodium ion is positive, and the hydroxide ion is negative.B. The sodium ion is neutral, and the hydroxide ion is neutralC. The sodium ion is positive, and the hydroxide ion is positive.D. The sodium ion is negative, and the hydroxide ion is positive. 1 gallon is equal to 4 quarts or 8 pints. How many pints are in 3 gallons? Ben (55kg) is standing on very slippery ice when Junior (25kg) bumps into him. Junior was moving at a speed of 8m/s before the collision. Find the speed of ben and junior as they move across the ice after the collision. Give the answer in m/s. Describe the work you did to get the answer Use this table of a school bus during morning pickups to calculate its average speed between 0 h and 2.340 h.Position (km) Time (h)0.0 0.0001.2 0.0242.8 0.0514.2 0.08416.3 2.340 Which statement does NOT accurately compare AIDS inAfrica with AIDS in America?A) On both continents, the virus is transmitted sexually.B) On both continents, the virus is transmitted throughdirty needles.C) On both continents, the primary victims of AIDS aremale homosexuals. How does whats it change in chapter 4 The quadrilateral with the following vertices is a ______. (-6, -2), (4, -2), (2, -5), (-7, -5) Dog food is sold in 7 pound bags. Sketcha graph to show the weight of dog foodpurchased by a customer who buys 0, 1, 2, 3, or 4 bags. Tell whether the graph is continuous or discrete. did I get this right please help me? Write the equation of the line that has slope 1 half and passes through (4, -1). Help it multiple-choice 16 and 17 only 5Select the correct answer.Find the slope and the y-intercept of the equation 4x + 5y = -9. slope = 4/5 and y-intercept = -(9)/(5). slope = '-(4)/(5) and y-intercept = "19)/(5)C. slope = *(4)/(5) and y-intercept = -197(5)Dslope = '(4)/(5) and y-intercept = "9/5 Which of the following correctly completes the square for the equation below x^2+2x=19. How is the redemption of Scrooge presented throughout the novella A Christmas Carol. I am making this question worth 100 points as I expect relevant quotes from parts of the novella and a link with at least some context! I will mark the best answer brainliest The formula for electrical energy, P, is P = I2R, where I is current and R is resistance. The formula for I in terms of P and R is .... Germany stated that which of the followingevents was occurring in the Sudetenland inthe 1930s?A. France was invading the area and taking it over.B. Czechoslovakia was annexing the land and selling it to Italy.C. Germans living in the area were being abused by the Czechpeople.D. Great Britain was stealing the land's natural resources.