Quiz about Arithmetic and Geometric Sequences

Question 1

Create the formula for the 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

Question 2

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

Accepted Answer

68

Answer

14

Answer

63

Answer

71

Question 3

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

Accepted Answer

-11

Answer

8

Answer

11

Answer

-8

Question 4

What is the 10th term of the sequence a(n) = 20-2n

Accepted Answer

0

Answer

40

Answer

-20

Answer

7

Question 5

Is the sequence 7, 9, 12, 16,... geometric?

Accepted Answer

no

Answer

yes

Question 6

What kind of sequence is the pattern 15, 17, 20, 24, 29, ...?

Accepted Answer

Neither

Answer

Arithmetic

Answer

Geometric

Question 7

You have $10 in you bank account.  It doubles every month.  How much money will you have after 5 months?

Accepted Answer

$320

Answer

$50

Answer

$35

Answer

$250

Question 8

Identify the common difference or ratio.

3, 7, 11, 15, ...

Accepted Answer

Difference, 4

Answer

Ratio, -4

Answer

Difference, -4

Answer

Ratio, 4

Question 9

Carey is organizing her books and putting them on shelves. She put 2 books on the first shelf, 8 books on the second shelf, 32 books on the third shelf, and 128 books on the fourth shelf. What kind of sequence is this?

Accepted Answer

Geometric

Answer

Arithmetic

Answer

Both

Answer

Neither

Question 10

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

Accepted Answer

Arithmetic

Answer

Geometric

Answer

Neither

Question 11

What is the common ratio of this sequence?
{2, 10, 50, 250, ... }

Accepted Answer

5

Answer

1,250

Answer

10

Answer

50

Question 12

Is this sequence Arithmetic, Geometric, or Neither?
{14, 22, 30, 38, .. }

Accepted Answer

Arithmetic

Answer

Geometric

Answer

Neither

Question 13

What is the common ratio in this sequence?
{96, 48, 24, 12, ... }

Accepted Answer

1/2

Answer

2

Answer

12

Answer

24

Question 14

What kind of sequence is illustrated below?
400, 200, 100, 50, 25, ...

Accepted Answer

Geometric

Answer

Arithmetic

Answer

Neither

Question 15

The individual numbers in a sequences are called...

Accepted Answer

Term

Answer

Common difference

Answer

Successive term

Answer

Geometric term

Question 16

What is the common ratio of the geometric sequence below?
5, 25, 125, 625...

Accepted Answer

5

Answer

25

Answer

20

Answer

4

Question 17

The next term of the series 11,8,5,2 is...

Accepted Answer

-1

Answer

-2

Answer

1

Answer

2

Question 18

If f(x)= -9x+12, then f(20)=______________?

Accepted Answer

-168

Answer

-180

Answer

192

Answer

-192

Question 19

What is the 14th term of the geometric sequence?

Accepted Answer

4,782,969

Answer

14,348,907

Answer

1,594,323

Answer

45

Arithmetic and Geometric Sequences

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