The first 5 terms of a sequence are shown below:
3, -2, -7, -12, -17
Which expression can be used to find the nth term?

Answers

Answer 1

Step-by-step explanation:

To find the formula for the nth term ,

First , find the common difference or common ratio.

Common difference =

[tex]T_2-T_1 \\ - 2 - 3 \\ = - 5[/tex]

Common ratio =

[tex]T_2/T_1 \\ \frac{ - 2}{3} [/tex]

The common difference applies to the other given numbers for example :

[tex]T_3- T_2 = - 7 - ( - 2) \\ = - 7 + 2 = - 5[/tex]

this proves that it is an arithmetic sequence and the given formula for the nth term of an arithmetic sequence is

T_n =a(n-1)d

Where n = no of terms

a= first term

d= common difference


Related Questions

Best answer gets brainliest!!!
Choose 3 plz!

Answers

I believe that the answer B,D,and E

Answer:

A, D, and E (I think)

Step-by-step explanation:

I'm pretty sure those would be the right answers, sorry that this isn't much of an explanation lol

Pls I need help like really bad like ASAP

Answers

Answer:

1/9

Step-by-step explanation:

Suppose that Algeria has a workforce of 9,416,534, each of whom earns an average annual salary of (equivalent US dollars) $6,844. If the Algerian government wishes to raise $9 billion in tax revenue, approximately where should it set the income tax rate?
a.
9%
b.
14%
c.
18%
d.
26%

Answers

Answer:

its B on e2020

Step-by-step explanation:

14%

If the Algerian government wishes to raise $9 billion in tax revenue, income tax rate should be 14%.

What should the income tax rate be?

Income tax is a form of tax levied on the income of labor by the government. Income tax reduces the income earned by labor.

In order to determine the income tax rate, take the following steps:

Determine the total income of the workforce: 9,416,534 x $6,844 = 64.45 billion

Now, divide the desired tax revenue by the total income: (9 billion / 64.45 billion)  x 100 = 14%

To learn more about taxes, please check: https://brainly.com/question/25311567

PLEASE HELP IM GOING TO FAIL!!!

Answers

Answer:

D.

Step-by-step explanation:

the slope is going up 1 over 2 and the 1 is the y....hope this helps.

8w < 32 can u guys please help me

Answers

Answer:

w<4

Step-by-step explanation:

divide both sides by 8. no need to flip the sign because 8 is positive

8/8w<32/8

w<4

Answer:

w>4

Step-by-step explanation:

8w<32

8w/8=w

What you do to one side, do to the other.

32/8=4

w<4

Flip the sign because we divided.

w>4 is your answer

Juan practices his trumpet for 24 minutes each day.

How many days will it take Juan to practice 72 minutes?

Enter your answer in the box.

Answers

Answer:

3 days

Step-by-step explanation:

72/24=3

Answer:

3 days

Step-by-step explanation:

you're welcome

Evaluate the expression for the given value of the Variable
2x + 17 for x = 3
The expression equals

Answers

Answer:

23

Step-by-step explanation:

What do we mean when we say that the k-coloring algorithm discussed in the lectures is "almost" constant-time?

Answers

Answer:

What is meant by K-coloring algorithm to be "almost" constant-time: is that the pattern through which K-coloring algorithm is applied when coloring a graph is "almost" the same every time the algorithm is applied on any graph

Step-by-step explanation:

What is meant by K-coloring algorithm to be "almost" constant-time: is that the pattern through which K-coloring algorithm is applied when coloring a graph is "almost" the same every time the algorithm is applied on any graph. this is because in the use of K-coloring algorithm no adjacent vertices are colored  with the same color and if that happens the  lowest numbered color that has not been colored will be applied i.e. a new color.

The aim of the K-coloring algorithm is to color a graph with the least possible amount of different colors while ensuring that adjacent vertices don't get the same color

Which one should I choose

Answers

Answer:

try x^2   X   6

Step-by-step explanation:

Pls help me I am d$mb...

Answers

Answer:

ur not domb

Step-by-step explanation:

A radioactive element has a half-life of 400 years. How much of 100 grams would remain after 40 years?

Answers

Answer: here are all the answers

Answer:

What....

Step-by-step explanation:

10 points for correct answer and giving brainliest

Answers

Answer:G

G is the correct inequality.

Determine the number of acute, obtuse, and right angles in the shape above

Answers

Answer:

2 acute, 1 obtuse, 1 right

2 balloons and 3 cakes cost $26.
4 balloons and 4 cakes cost $40.
What's the cost of 1 balloon?
What's the cost of 1 cake?

Answers

Answer:

The cost of one balloon is 4 dollars

the cost of one cake is 6 dollars

Step-by-step explanation:

The way I did it was by substituting different numbers and seeing if they equaled forty or 26.

my thought process:

1 balloon= 5

1 cake= 10

that doesnt work for 2 balloons and 3 cakes

1 balloon=5

1 cake=5

that works for 4 balloons and 4 cakes but not 2 balloons and 3 cakes

1 balloon=4

1 cake=7

I'm sorry I'm way too tired to finish this 0-0 anyways yeah that's the correct answer :)

4. Select all the expressions that are less than 3,467.
5
A. 3,467 x
B. 3,467 x
C. 3,467 x
D. 3,467 x
E. 3,467 -

Answers

I think the only answer is E

Solve for x and find NM

Answers

Answer:

x = 9, NM = 41

Step-by-step explanation:

Since KL = ML  then the triangle is isosceles and LN is a perpendicular bisector, thus

NM = NK , substitute values

7x - 22 = 3x + 14 ( subtract 3x from both sides )

4x - 22 = 14 ( add 22 to both sides )

4x = 36 ( divide both sides by 4 )

x = 9

Thus

NM = 7x - 22 = 7(9) - 22 = 63 - 22 = 41

Find the domain and range of the function y = f(x) in the graph

Answers

Answer:

A.

Step-by-step explanation:

Answer:

a. Domain -4 ≤ x ≤ 3, Range 0 ≤ y ≤ 5

General Formulas and Concepts:

Algebra I

Domain is the set of x-values that can be inputted into function f(x) Range is the set of y-values that are outputted by function f(x)

Step-by-step explanation:

According to the graph, we see that our x-values span from -4 to 3. Since both dots are closed dots, they are inclusive in the domain:

[-4, 3] or -4 ≤ x ≤ 3

According to the graph, we see that our y-values span from 0 to 5. Since both dots are closed dots, they are inclusive in the range:

[0, 5] or 0 ≤ y ≤ 5

Determine the value of X and the measure of midsegment.

Answers

5x-1 = 1/2(58)
5x = 30
X=6

Measure of mid-segment = 29

Which statement is not true about the pattern shown 2/3 , 4/6, 8/12, 16/24 , ...

Answers

They are multiplying by two .

can you help me? i don’t understand

Answers

angle1 + angle2 = 180

[tex]4x + 20 + x + 20 = 180[/tex]

[tex]5x + 40 = 180[/tex]

[tex]5x = 180 - 40[/tex]

[tex]5x = 140[/tex]

[tex]x = \frac{140}{5} [/tex]

[tex]x = 28[/tex]


guys I need help with both of the questions

Answers

Part 1: 93.75

Explanation: 75% = 0.75
125 x 0.75 = 93.75

Part 2: 200 total freshman

Explanation: 90 = part
45% = 0.45 = percent
Meaning the whole is missing

90/0.45 = 200



PLEASE HURRY
Russell has a collection of 1,200 pennies. Of these pennies, 25% are dated before 1980, 35% are dated from 1980 to 2000, and the rest are dated after 2000. How many pennies in Russell’s collection are dated after 2000?

Answers

40% of the pennies are dated after 2000...or there are 500 pennies dated after 2000 hope this helps :) brainliest?

After purchasing a home for $160,00 the homeowner noticed the suggested value of her house was depreciating by 5% each year.

What is the decay factor for this situation?



A
0.05

B
0.50

C
0.95

D
1.05

Answers

The answer is A! Hoped I was able to help you out !bjjucyuvvhhhhhhhhhuuu

what is the answer to (7×10^5)×(3×10^2)

Answers

Answer:

210000000

Step-by-step explanation:

plz help me this is a final!!!!

Answers

Answer: (a) 13 (b) 1

Step-by-step explanation: The absolute value of -6 is 6. That equal 6 plus 7 which is 13. In the second equation, add -6 and 7 first. That is 1 and the absolute value of 1 is 1.

Answer:

A.13 b.-1

Step-by-step explanation:

a 6+7=13

b 6- -7=-1

Rick is taking a 1-mile ride on his bicycle. For each rotation of his tire, he travels 72 inches. How many rotations will his tire make during the 1-mile trip?
O 73 rotations
O 83 rotations
O 780 rotations
O 880 rotations
SHOW YOUR WORK!!!

Answers

Answer:

880 rotations or D

Step-by-step explanation:

72 inches = 72 / 12 = 6 feet

1 mile = 5280 feet

1 rotation covers 6 feet

x rotations covers 5280 feet

1/x = 6/5280                       Cross multiply

6x = 5280 * 1                      Divide by 6

x = 5280 /6

x = 880

D

HELP ASAP!! Which representation shows y as a function of x ?

Answers

Answer:

It is the first answer

Step-by-step explanation:

For it to be considered a function, each x-value can only corresponds (have) one y-value, however, y-values (even if they are the same y-value) can have multiple different x-values.

How do you write this in a expression?please answer quick (take away a number n from 24)

Answers

Answer:

24-n

Step-by-step explanation: hope this helps if it does pls give brainliest tysm!

Answer:

24-n

Step-by-step explanation: we taking away so that is substraction.

solve for s
1/2 s = 7/2​

Answers

i think it’s
7/2=3.5
3.5/2
=7

Answer:

its 7 thats the answer lol

Rewrite the expression as a product using the GCF and distributive property. 27 + 45

Answers

Step-by-step explanation:

GCF of 27 and 45 is 9

Answer: 9 (3+5)

Step-by-step explanation:

The GFCF of these two numbers is 9 as they can both be divided by it

Distributive property form is when you place the GFC outside parenthesis so that the equation can be multiplied in order to show the original equation and dividing the numbers by the GCF so that it does not give you a larger number than what you started with

27/9=3 + 45/9=5

So, keeping this in mind the distributive property form would be 9(3+5)

Answer 9(3+5)

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