if the nth term of a number sequence is n squared-3 if the first 3 terms and the 10th term

Answers

Answer 1

Answer:

First three terms: -2, 1, 6

Tenth term: 97

Step-by-step explanation:

Given

[tex]T_n =n^2 -3[/tex]

Required

The first three terms and the tenth

So, we have:

First term: n =1

[tex]T_1 = 1^2 - 3 = 1 - 3 = -2[/tex]

Second term: n = 2

[tex]T_2 = 2^2 - 3 = 4 - 3 = 1[/tex]

Third term: n = 3

[tex]T_3 = 3^2 - 3 = 9 - 3 = 6[/tex]

Tenth term: n = 10

[tex]T_{10} = 10^2 - 3 = 100 - 3 = 97[/tex]


Related Questions

What is the volume of the right rectangular prism, in cubic centimeters? A prism has a length of 4 centimeters, width of 9 centimeters, and a height of 10 centimeters

Answers

Answer:

360

Step-by-step explanation:

length times width of the base then multiply by the height of the prism.

(4)(9)10

Look at the table below.

x y
3 1.8
5 3
7 4.2
9 5.4
11 6.6

Which of the following represents the constant of proportionality for the relationship shown in the table above?

A. 1.2



B. 0.7



C. 2



D. 0.6

Answers

The Answer is A 1.2 :))))))))))))

Which of the following describes an acute isosceles triangle?

A. At least one angle is 90° and two sides are equal in length.

B. All angles are less than 90° and two sides are congruent.

C. No two sides are equal in length and all angles are greater than 90°.
D All three sides are different lengths and all angles are less than 90°.

Please answer fast it’s for a test

Answers

The answer is d btw post a picture too

There are two ways to go from Fujairah to Sharjah , and four ways to go from Sharjah to Dubai. How many different ways are there to go from Fujairah to Dubai, passing through Sharjah?
6
8
16
12​

Answers

Answer:

8

Step-by-step explanation:

17. An equation is shown.
3x7=+7
What number makes the number sentence true?
A 3
B, 14
C. 21
D. 28

Answers

the answer is 1 because 1x7=+7

Junior's brother is 1 1/2
meters tall. Junior is 1 1/5
of his brother's height.
How tall is Junior?

Answers

Answer:

Step-by-step explanation:

1 1/5 of 1 1/2 meters  

= (1+1/5) x (1+1/2)  

= 1x1 + 1x1/2 + 1x1/5 + 1/5*1/2  

= 1 + 1/2 + 1/5 + 1/10  

= 1 + (1x5+1x2+1)/10  

= 1 8/10  

= 1 4/5 meters

Answer:

1 4/5 meters

Step-by-step explanation:

1 1/5 of 1 1/2 meters  

= (1+1/5) x (1+1/2)  

= 1x1 + 1x1/2 + 1x1/5 + 1/5*1/2  

= 1 + 1/2 + 1/5 + 1/10  

= 1 + (1x5+1x2+1)/10  

= 1 8/10  

= 1 4/5 meters

what is m <1 + m <4?​

Answers

Answer:

m < 3 ?

Step-by-step explanation:

M>3 I’m guessing I need to answer 2 questions lol

If you can solve it please tell me (20 points)​

Answers

Answer:

D E false, F true

Step-by-step explanation:

What is the inverse relation of f(x)=1/5x−4/5?
y=1/5x−4
y=−1/5x+5/4
y=−5x−4
y=5x+4

Answers

Answer:

[tex]y' = 5x + 4[/tex]

Step-by-step explanation:

Given

[tex]f(x) = \frac{1}{5}x - \frac{4}{5}[/tex]

Required

The inverse relation

[tex]f(x) = \frac{1}{5}x - \frac{4}{5}[/tex]

Rewrite as:

[tex]y = \frac{1}{5}x - \frac{4}{5}[/tex]

Swap x and y

[tex]x = \frac{1}{5}y - \frac{4}{5}[/tex]

Multiply through  by 5

[tex]5x = y - 4[/tex]

[tex]y = 5x +4[/tex]

Rewrite the new function as:

[tex]y' = 5x + 4[/tex]

In the year 1986 reg Morris ate 30 hotdogs in 64 seconds how many seconds per hotdog is this

Answers

Answer:

Step-by-step explanation:

Time taken to eat 30 hot dogs = 64 seconds

Time taken to eat 1 hot hot dog = 64 ÷ 30

                                                    ≈ 2 seconds

What is the y value in the system of equations shown below?
y = 5 - 1/2x
3x - 2y = 6

Answers

the y value for (y=5-1/2x) would be y=-x/2+5 and the y value for (3x-2y=6) would be -3+3x/2. i hope that helps!

Solve a" + 14a + 45 = 0 by factoring

Answers

Answer:

a = -3

Step-by-step explanation:

-3 + (14 * -3) + 45 = 0

-3 + -42 + 45 = 0

-3 + 3 = 0

So, the answer is -3

Hope this helps! :)

A salesman is paid $15.00 per hour for 7 hours plus $9.00 for each sale, x, she makes. She wants to earn more than $150.

Which inequality matches the situation?

Answers

Answer:

what are the options???

The radius of a chord and a tangent line are_ at the point of tangency

Answers

Answer:

fine

cause of it's fine point of tangency

Mr.James bought 19 crates of fruits.There were 64 fryits in each crate.If 320 were apples,414 were pears and the rest were mangoes,how many mangoes were there ?​

Answers

Answer:

482 mangoes.

Step-by-step explanation:

multiply 64 x 19 which equals to 1216

subtract 320 from 1216 getting 896

Lastly, subtract 414 from 896 getting you answer of 482 mangoes.

Please tell me if you're still having trouble,I would be happy to help :) good luck!

What is it i’m really really really confused about it lollll

Answers

Answer:

it would be D

So, when they say quantities that combine to make 0, that means you have to lose, and then gain the same amount back.

If you look at all the other choices, they either keep on gaining or they don't gain the same amount they lost

Think about it as breaking even.  You aren't actually gaining anything if you are gaining back the exact same amount you lost.

What is the slope-intercept equation of the following line?

Answers

Answer:

Hi Joanna,  what do you find difficult about this problem?  Just wondering

Step-by-step explanation:

? = 2

the grey box is 7

ask me if you want to know how I got those :)

For which product or quotient is this expression the simplest form? (image attached)! please help :((

Answers

Answer:

D

Step-by-step explanation:

For simplify the work we can start to factorise all the possibles expressions:

2x + 8.

8 is multiple of 2, so it can became

2(x+4)

x^2 - 16 this is a difference of two squares, so it can be rewritten as:

(x+4)(x-4)

x^2 + 8x + 16

we have to find two numbers whose sum is 8 and whose product is 16

the two number are 4 and 4

it becames:

(x+4)(x+4)

x+ 4 can‘t be simplified

if we look at the expression, we can find that x-4 appears at the numerator so

x^2 - 16 must be at numerator

but the second factor (x+4) doesn’t appear, so has been simplified. This situation can be possible only in the D option

in fact

(x+4)(x-4)/2(x+4) * (x+4)/(x+4)(x+4)

it became

(x+4)(x-4)/2 * 1/(x+4)(x+4)

(x-4)/2(x+4)

Answer:

Step-by-step explanation:

I got 100% on the test

PLEASE HELP ASAP REAL ANSWERS ONLY OR WILL BE DELETED! 20 PTS!!


A right rectangular container is 10 cm wide and 24 cm long and contains water to a depth of 7cm. A stone is placed in the water and the water rises 2.7 cm. Find the volume of the stone.

Answers

Answer:

648cm³

Step-by-step explanation:

The container is a cuboid thus:

volume of water is:

v=l×w×h

=10×24×7

=1680cm³

volume of water+stone=10×24×(7+2.7)

=10×24×9.7

=2328cm³

Thus volume of stone equals

2328-1680.

=648cm³

HELP ME PLAESE I HAVE ASKED THE QUESTION LIKE 5000000 TIMES AND HAVE USED UP ALL MY POINTS, THE LEAST SOMEONE CAN DO IS JUST TRY PLSSSSS


Will choose brainliest :)

Answers

Answer:

try c.

Step-by-step explanation:

i hope this is the answer, good luck!

PLEASE HELP!!! I GIVE 15 POINTS!
Flaws in a carpet tend to occur randomly and independently at a rate of one every 260 square feet. What is the probability that a carpet that is 7 feet by 14 feet contains no flaws?

Probability =
Enter your answer in terms of e.

Answers

Answer:

The probability that a carpet that is 7 feet by 14 feet contains no flaws is 99.996%.

Step-by-step explanation:

Given that flaws in a carpet tend to occur randomly and independently at a rate of one every 260 square feet, to determine what is the probability that a carpet that is 7 feet by 14 feet contains no flaws, the following calculation must be performed:

7 x 14 = 98

1/260 = 0.003

98 = 100

0.003 = X

0.003 x 100/98 = X

0.0039 = X

100 - 0.0039 = 99.996

Thus, the probability that a carpet that is 7 feet by 14 feet contains no flaws is 99.996%.

if 40% percent is a number of 35 what is 50% of that number

Answers

Answer:

what is 50% of 35?

Answer is 17.5.

Step-by-step explanation:

Find the distance between the points (4.5,-1.5), (4.5,7.25)
The distance is ____.

Answers

Answer:

8.75

Step-by-step explanation:

i get a 25% discount (means decrease) at macys store. if i find a dress i like for $80, how much will i have to pay for it?​

Answers

Answer:

you will pay $60

Step-by-step explanation:

25% (1/4) of 80 is 20

subtract 20 from the total (80)

80 - 20 = 60

$60

Answer:

60

Step-by-step explanation:

So if you get 25% off, you're basically paying 75%.

So first, convert the percentage to a decimal:

75% = 75/100 = 0.75

Now just multiply the decimal by the total cost:

80$ (0.75) = $60

PLEASE HELP ME PLEASE!

Answers

They can because of zero property. If we set them equal to zero we get their roots which is 3 and -2. This is the same on the x axis which is goes through. We can mark these points.

Two equivalent fractions for 1/6?

Answers

Answer:

[tex]\frac{2}{12}[/tex] or [tex]\frac{3}{18}[/tex]

Step-by-step explanation:

[tex]\frac{1}{6} = \frac{2}{12}=\frac{3}{18}[/tex]

Find GH. What does GH equal?

Answers

Answer: GH = HJ = 4.6

Step-by-step explanation:

Answer: GH = HJ = 4.6

What is the cos(65)?

Answers

= 0.4226182617, or 0.423 if rounded to 3 d.p

What is the value of v? (help no links and thx)

Answers

Answer:

74.7

Step-by-step explanation:

Determine the length of UT.

Answers

I think the answer would be 20
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