Quiz about Arithmetic and Geometric Sequences

Question 1

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

Accepted Answer

29

Answer

14

Answer

20

Answer

26

Question 3

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

Accepted Answer

68

Answer

14

Answer

63

Answer

71

Question 4

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

Accepted Answer

17

Answer

18

Answer

15

Answer

14

Question 5

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

Accepted Answer

no

Answer

yes

Question 6

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

Accepted Answer

Geometric

Answer

Arithmetic

Answer

Neither

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

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 10

What is the 38th term of this sequence?
{26, 22, 18, 14, ... }

Accepted Answer

-122

Answer

-4

Answer

10

Answer

174

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

Which kind of sequence has a common ratio?

Accepted Answer

Geometric

Answer

Arithmetic

Question 14

Which kind of sequence has a common difference?

Accepted Answer

Arithmetic

Answer

Geometric

Question 15

Create the formula for the arithmetic sequence:
6, 11, 16, 21...

Accepted Answer

an= 1+5n

Answer

an = -1-5n

Answer

an = -1+5n

Answer

an = 1-5n

Question 16

Create the formula for the arithmetic sequence:
-10, -3, 4, 11...

Accepted Answer

a_n= -17+7n

Answer

an = 17-7n

Answer

a_n= -17-7n

Answer

an = 17+7n

Question 17

Create the formula for the geometric sequence:
1, 4, 16, 64...

Accepted Answer

an = 4n-1

Answer

an = 3n-1

Answer

an = 2n-1

Answer

an = 5n-1

Question 18

Create the formula for the geometric sequence:
-2, 10, -50, 250...

Accepted Answer

a_n= -2(-5)^n-1

Answer

a_n= 2(-5)^n-1

Answer

a_n= -2(5)^n-1

Answer

a_n= 2(5)^n-1

Arithmetic and Geometric Sequences

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