Quiz about Arithmetic or Geometric Sequences Identify

Question 1

Is the sequence arithmetic, geometric, or neither:

17, 9, 1, -7, ...

Accepted Answer

Arithmetic

Answer

Geometric

Answer

Neither

Question 2

Is the sequence geometric or arithmetic?
6, 18, 54...

Accepted Answer

Geometric

Answer

Arithmetic

Answer

Neither

Question 3

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

Accepted Answer

68

Answer

14

Answer

63

Answer

71

Question 4

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

Accepted Answer

-11

Answer

8

Answer

11

Answer

-8

Question 5

Create the explicit formula for the 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 6

Is the sequence -4, -12, -36, -108,... arithmetic, geometric, or neither?

Accepted Answer

geometric

Answer

arithmetic

Answer

neither

Question 7

If an arithmetic sequence is graphed, which of the following will best model the shape of the graph?

Accepted Answer

Linear

Answer

Exponential

Answer

Quadratic

Question 8

A grocer is creating a display of cans. There are 40 cans on the 1st (bottom) row, 38 cans on the 2nd row, 36 cans on the 3rd row, and so on. How many cans will be on the 15th row?

Accepted Answer

12 cans

Answer

32 cans

Answer

10 cans

Answer

68 cans

Question 9

a₄ = 3 and a₁₀ = -39

Find the common difference of the arithmetic sequence.

Accepted Answer

-7

Answer

-6

Answer

-8

Answer

-9

Question 10

a₃ = 225 and a₅ = 5625

Find the common ratio of the geometric sequence.

Accepted Answer

5

Answer

3

Answer

4

Answer

25

Question 11

Is the sequence arithmetic: 78, 785, 7855, 78555, ...

Accepted Answer

No

Answer

Yes

Question 12

Is this sequence arithmetic, geometric, or neither?
{26, 22, 18, 14, ...}

Accepted Answer

Arithmetic

Answer

Geometric

Answer

Neither

Question 13

Which sequence is an arithmetic sequence?

Accepted Answer

3, 7, 11, 15, ...

Answer

3, 6, 2, 7, ...

Answer

3, 6, 12, 24, ...

Answer

3, 6, 10, 15, ...

Question 14

Which kind of sequence has a common ratio?

Accepted Answer

Geometric

Answer

Arithmetic

Question 15

Which kind of sequence has a common difference?

Accepted Answer

Arithmetic

Answer

Geometric

Question 16

Create the explicit formula for the arithmetic sequence: 2, 8, 14, ... (Hint: Write your formula and then simplify it.)

Accepted Answer

an=6n-4

Answer

an=2+6n

Answer

an=-6+6n

Answer

an=4-6n

Arithmetic or Geometric Sequences Identify

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