Quiz about Algebra 2 Sequences

Question 1

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

Accepted Answer

Yes

Answer

No

Question 2

Is the sequence 2, 4, 12, 48,... geometric?

Accepted Answer

no

Answer

yes

Question 3

5, 15, 45, 135 is a ...

Accepted Answer

Geometric sequence with r = 3

Answer

Geometric sequence with r = 1/3

Answer

Arithmetic sequence with d = 10

Answer

Arithmetic sequence with d = 3

Question 4

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

Accepted Answer

-11

Answer

8

Answer

11

Answer

-8

Question 5

Find the common ratio: 4, -16, 64, -256, ...

Accepted Answer

r = -4

Answer

r = 2

Answer

r = -2

Answer

r = 4

Question 6

Write a formula for the following sequence:

5, 8, 11, 14, 17...

Accepted Answer

a_n = 3n + 2

Answer

a_n = 8 - 5n

Answer

a_n = 5(3)^n-1

Answer

a_n = 5 + 3n

Question 7

Write a formula for the following sequence:

4, 12, 36, 108...

Accepted Answer

a_n = 4(3^n-1)

Answer

a_n = 4(3ⁿ)

Answer

an = 4+3n

Answer

a_n = 4(3n)

Question 8

Write a formula for the following sequence:

2, 8, 14, ...

Accepted Answer

a_n= 6n - 4

Answer

a_n= 2 + 6n

Answer

a_n= - 6 + 6n

Answer

a_n= 4 - 6n

Question 9

What is the 100th term in the sequence a_n = 4n-12

Accepted Answer

388

Answer

40012

Answer

-388

Answer

100

Question 10

Given a₁= 5 and d= 2 find a₆

Accepted Answer

15

Answer

13

Answer

10

Answer

17

Question 11

Find a₁₈ for the following geometric sequence,

-3, 6, -12, 24,,,

Accepted Answer

393,216

Answer

-37

Answer

-786,432

Answer

258,280,326

Question 12

256, 128, 64, 32, ...

What's next?

Accepted Answer

16

Answer

24

Answer

18

Answer

8

Question 13

-21, -16, -11, -6, ...

Is this sequence arithmetic, geometric, or neither?

Accepted Answer

arithmetic (common difference d = 5)

Answer

geometric (common ratio r = 5)

Answer

neither (no common difference OR common ratio) neither (no common difference OR common ratio)

Question 14

3, 9, 15, 22, ...

Is this sequence arithmetic, geometric, or neither?

Accepted Answer

neither (no common difference OR common ratio) neither (no common difference OR common ratio)

Answer

arithmetic (common difference d = 6)

Answer

geometric (common ratio r = 4)

Question 15

A sequence can be generated by using a_n = 5a_(n-1)

where a₁ = 3

and n is a whole number greater than 1.

What is the first term in the sequence?

Accepted Answer

3

Answer

5

Question 16

Determine whether the sequence is arithmetic, geometric, or neither.

Accepted Answer

arithmetic

Answer

geometric

Answer

neither

Question 17

Determine whether the sequence is arithmetic, geometric, or neither.

Accepted Answer

geometric

Answer

arithmetic

Answer

neither

Question 18

Find the common ratio for the geometric sequence.

Accepted Answer

2/3

Answer

3/2

Answer

-2/3

Answer

-3/2

Question 19

Which sequence is represented by the equation 2(7)^n-1 ?

Accepted Answer

2, 14, 98, 686...

Answer

7, 14, 28, 56...

Answer

2, 9, 16, 23...

Answer

7,9,11,13...

Algebra 2 Sequences

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