Quiz about Arithmetic and Geometric Sequences

Question 1

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

Accepted Answer

-11

Answer

8

Answer

11

Answer

-8

Question 2

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

Accepted Answer

no

Answer

yes

Question 3

What kind of sequence is the pattern 400, 200, 100, 50, 25, ...?

Accepted Answer

Geometric

Answer

Arithmetic

Answer

Neither

Question 4

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

Accepted Answer

Neither

Answer

Arithmetic

Answer

Geometric

Question 5

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

Accepted Answer

1/2

Answer

2

Answer

12

Answer

24

Question 6

Find the 25th term of the sequence if a₁ = 5 and d = 0.5

Accepted Answer

17

Answer

18

Answer

15

Answer

14

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

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 9

Which lists four consecutive terms of an arithmetic sequence?

Accepted Answer

3, 10, 17, 24, ...

Answer

1, 4, 9, 16, ...

Answer

1, 2, 4, 8, ...

Answer

-5, 6, 10, 13, ...

Question 10

What is the explicit rule for the sequence:
11, 22, 44, 88...

Accepted Answer

u_n = 11(2)^n-1

Answer

u_n = 2(11)^n-1

Answer

u_n = 11(2)

Question 11

What are the first three terms of the sequence defined by the following equation?
a_n = 7 + (n - 1)5

Accepted Answer

7, 12, 17

Answer

7, 35, 175

Answer

7, 2, -3

Answer

12, 17, 22

Question 12

Create the formula for the geometric sequence:
3, -18, 108, -648...

Accepted Answer

a_n= 3(-6)^n-1

Answer

a_n= -3(6)^n-1

Answer

a_n= -3(-6)^n-¹

Answer

a_n= 3(6)^n-1

Question 13

Create the formula for the geometric sequence:
-4, -16, -64, -256...

Accepted Answer

a_n= -4(4)^n-1

Answer

a_n= -4(-4)^n-¹

Answer

a_n= 4(4)^n-1

Answer

a_n= 4(4)^n-1

Question 14

A geometric sequence has a₁ = 3 and r = 2. What is the Explicit Rule for a_n and use it to find the 10th term.

Accepted Answer

a_n = 3(2)^n-1

a₁₀ = 1536

Answer

a_n = 3 + 2(n-1)

a₁₀ = 21

Answer

a_n = 2(3)^n-1

a₁₀ = 39366

Answer

a_n = 2 + 3(n-1)

a₁₀ = 29

Question 15

An arithmetic sequence has a₁=2 and d=4. What is the Explicit Rule for a_n and use it to find the 20^th term.

Accepted Answer

a_n = 2 + 4(n-1)

a₂₀ = 78

Answer

a_n = 2 - 4(n-1)

a₂₀ = 82

Answer

a_n = 2(4)^n-1

a₂₀ = 2199023255552

Answer

a_n = 4 + 2(n-1)

a₂₀ = 42

Question 16

The fourth, fifth, and sixth terms of an arithmetic sequence are 56, 49, and 42. Which function represents the sequence?

Accepted Answer

a_n = 77 - 7(n-1)

Answer

a_n = 56 - 7(n-1)

Answer

a_n = 42 + 7(n-1)

Answer

a_n = 42(7)^n-1

Question 17

Find the missing number in the pattern. 6, 14, ____, 30, 38,...

Accepted Answer

22

Answer

18

Answer

20

Answer

24

Arithmetic and Geometric Sequences

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