Quiz about Arithmetic Sequences Problem Solving

Question 1

What is a formula for the nth term in the sequence 12, 20, 28, ...?

Accepted Answer

$$a_n=20+8\left(n-1\right)$$

Answer

$$a_n=-4+8\left(n+1\right)$$

Answer

$$a_n=12+8\left(n+1\right)$$

Answer

$$a_n=12\left(8\right)^n$$

Question 2

What is a formula for the nth term in the sequence -4, -9, -14, ...?

Accepted Answer

$$a_n=-4-5\left(n-1\right)$$

Answer

$$a_n=a_{n-1}+5$$

Answer

$$a_n=-5-4\left(n-1\right)$$

Answer

$$a_n=-4+5\left(n-1\right)$$

Question 3

Find the next three terms in the arithmetic sequence: -33, -24, -15, -6, ...

Accepted Answer

3, 12, 21

Answer

-1, 7, 15

Answer

-5, 2, 9

Answer

-65, -73, -81

Question 4

Find the next three terms in the arithmetic sequence: 25, 34, 43, 52, ...

Accepted Answer

61, 70, 79

Answer

63, 72, 81

Answer

79, 88, 97

Answer

70, 79, 88

Question 5

Find a₂₆ in the arithmetic sequence: -15, -35, -55, -75, ... (Hint: Write the explicit rule first, then use it to solve)

Accepted Answer

-515

Answer

-490

Answer

-535

Answer

460

Question 6

Find the 35th term in the arithmetic sequence: -10, -14, -18, -22, ...

(Hint: Write the explicit rule first, then use it to solve)

Accepted Answer

-146

Answer

-216

Answer

-148

Answer

-150

Question 7

Find the 22nd term of the following sequence:

5, 8, 11, ...

(Hint: Write the explicit rule first, then use it to solve)

Accepted Answer

68

Answer

14

Answer

63

Answer

71

Question 8

Select the explicit rule that represents the sequence.

Accepted Answer

a_n = 6 + 5(n - 1)

Answer

a_n = 4 + 6(n - 1)

Answer

a_n = 6 - 4(n - 1)

Question 9

Given the sequence: 25, 21, 17, 13,... Write the explicit equation that models the sequence.

Accepted Answer

a_n= 25 +(n-1)(-4)

Answer

a_n = 25 + (n-1)4

Answer

a_n = 29 + (n-1)(-4)

Answer

a_n = 29 +(n-1)(4)

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