Quiz about Arithmetic Sequences

Question 1

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 2

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 3

Identify the common difference.
97, 86, 75, 64, ...

Accepted Answer

-11

Answer

8

Answer

11

Answer

-8

Question 4

Is the sequence arithmetic: 37, 31, 25, 19, ...

Accepted Answer

Yes

Answer

No

Question 5

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

Accepted Answer

a_n= -4n + 29

Answer

a_n = 4n + 29

Answer

a_n = -4n + 25

Answer

a_n = 4n + 25

Question 6

Given the recursive formula, find the first four terms:
a_n = a_n-1 + 5
a₁ = -16

Accepted Answer

-16, -11, -6, -1

Answer

-16, -21, -26, -31

Answer

5, -11, -27, -43

Answer

-16, -80, -500, -200

Question 7

Find the 22nd term of the following sequence:
5, 8, 11, ...

Accepted Answer

68

Answer

14

Answer

63

Answer

71

Question 8

Identify the common difference.
3, 7, 11, 15, ...

Accepted Answer

4

Answer

6

Answer

5

Answer

2

Question 9

What is the rule (explicit equation) for the n^th term given
60, 55, 50, 45, ...

Accepted Answer

a_n= -5n+65

Answer

a_n= -5+60n

Answer

a_n= -5n+55

Answer

an= 5n+55

Question 10

Write the explicit rule for the arithmetic sequence
12, 10, 8, 6, ...

Accepted Answer

a_n= -2n + 14

Answer

a_n = 12n - 14

Answer

a_n= 2n - 14

Answer

a_n= -12n + 14

Question 11

Find the first term of the given sequence:
a₁₄=68
d=3

Accepted Answer

29

Answer

14

Answer

20

Answer

26

Question 12

The first three terms of an arithmetic sequence are as follows

13, 19, 25

What are the next two terms of the sequence?

Accepted Answer

31 and 37

Answer

31 and 36

Answer

30 and 37

Answer

30 and 36

Question 13

What is the 76^th term of the following arithmetic sequence?

8, 14, 20, 26,...

Accepted Answer

458

Answer

76

Answer

452

Answer

476

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