Quiz about Sequences Formulas

Question 1

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

Accepted Answer

Yes

Answer

No

Question 2

Is the sequence arithmetic: -3, 3, -3, 3, ...

Accepted Answer

No

Answer

Yes

Question 3

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

Accepted Answer

No

Answer

Yes

Question 4

Find the common difference: -34, -29, -24, -19, ...

Accepted Answer

d = 5

Answer

d = -5

Answer

d = -6

Answer

d = 6

Question 5

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

Accepted Answer

-11

Answer

8

Answer

11

Answer

-8

Question 6

Find the common difference: 29, 21, 13, 5, ...

Accepted Answer

d = -8

Answer

d = -10

Answer

d = -9

Answer

d = -7

Question 7

Find the common difference: -18, -23, -28, -33, ...

Accepted Answer

d = -5

Answer

d = 5

Answer

d = -3

Answer

d = 3

Question 8

Find the common difference: 1, 201, 401, 601, ...

Accepted Answer

d = 200

Answer

d = 100

Answer

d = 101

Answer

d = 201

Question 9

Find the next three terms in the arithmetic sequence: -33, -24, -15, -6, ...

Accepted Answer

3, 12, 21

Answer

-1, 7, 15

Answer

-5, 2, 9

Answer

-65, -73, -81

Question 10

Find the next three terms in the arithmetic sequence: -3, -8, -13, -18, ...

Accepted Answer

-23, -28, -33

Answer

-20, -24, -28

Answer

-21, -25, -29

Answer

-24, -29, -32

Question 11

Find the next three terms in the arithmetic sequence: 9, 19, 29, 39, ...

Accepted Answer

49, 59, 69

Answer

45, 54, 63

Answer

39, 49, 59

Answer

59, 69, 79

Question 12

Given the sequence:

25, 21, 17, 13,...

Write the explicit equation that models the sequence. (Hint: Simplify your equation.)

Accepted Answer

a_n= 25 - 4(n-1)

Accepted Answer

a_n = 25 + -4(n-1)

Answer

an = 4 * 25 ^ (n-1)

Answer

an = 25 * 4 ^ (n-1)

Question 13

Create the explicit formula for the sequence:

2, 8, 14, ...

Accepted Answer

a_n= 2 + 6(n-1)

Answer

a_n= 2 + 6n

Answer

a_n= -6 + 6n

Answer

a_n= 6 + 2n

Question 14

Find the 32nd term of this sequence.
9, 4, -1, -6, -11, ...

Accepted Answer

-146

Answer

81

Answer

-34

Answer

-225

Question 15

Find the 35th term in the arithmetic sequence: -10, -14, -18, -22, ...

Accepted Answer

-146

Answer

-216

Answer

-148

Answer

-150

Question 16

Find a₂₆ in the arithmetic sequence: -15, -35, -55, -75, ...

Accepted Answer

-515

Answer

-490

Answer

-535

Answer

460

Question 17

Find a₂₀ in the arithmetic sequence: 5, 12, 19, 26...

Accepted Answer

138

Answer

145

Answer

144

Answer

142

Question 18

Find the 26th term in the arithmetic sequence: 20, 26, 32, 38, ...

Accepted Answer

170

Answer

182

Answer

176

Answer

-118

Question 19

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

Accepted Answer

17

Answer

18

Answer

15

Answer

14

Question 20

Which kind of sequence has a common difference?

Accepted Answer

Arithmetic

Answer

Geometric

Question 21

What does r represent?

Accepted Answer

Common ratio

Answer

Radical

Answer

Common difference

Question 22

Find the common ratio for the geometric sequence.

Accepted Answer

2

Answer

10

Answer

1/2

Answer

4

Question 23

What are the next 3 terms in the following geometric sequence:

512, 256, 128, ___, ___, ___, ...

Accepted Answer

64, 32, 16

Answer

1024, 2048, 4096

Answer

32, 8, 2

Answer

92, 66, 38

Question 24

Write the explicit formula for the geometric sequence.

Accepted Answer

a_n = 3(-4)^n-1

Answer

a_n = 4(3)^n-1

Answer

a_n = 3(4)^n-1

Answer

a_n = -4(3)^n-1

Question 25

Find the first four terms of the sequence given the rule:
a_n = 4(5)^n-1

Accepted Answer

4, 20, 100, 500

Answer

20, 100, 500, 2500

Answer

5, 20, 80, 320

Answer

4, 9, 14, 19

Question 26

What is the 14th term of the geometric sequence?

Accepted Answer

4,782,969

Answer

14,348,907

Answer

1,594,323

Answer

45

Question 27

Given the sequence:

125, 25, 5, ....

Write the rule a_n using the geometric sequence formula:

Accepted Answer

a_n = (125)(1/5)^(n-1)

Answer

a_n = 625(1/5)^(n-1)

Answer

a_n = 625(5)^(n-1)

Answer

a_n = 125 + 5n

Question 28

Find a₁₂ in the sequence -1, -3, -9, -27, ...

Accepted Answer

-177,147

Answer

-19,683

Answer

-59,049

Answer

118,098

Question 29

The rule for finding a_n of a geometric sequence is

a_n = 10(2)^n-1

What is the common ratio (r) of the sequence?

Accepted Answer

2

Answer

10

Answer

20

Answer

2n

Question 30

What is the 9^th term in a geometric sequence with a common ratio of 2 and a first term of 3?

Accepted Answer

768

Answer

384

Answer

1,536

Answer

27

Question 31

What is the common ratio for the sequence:
28, 14, 7, 3.5...

Accepted Answer

1/2

Answer

2

Answer

-14

Answer

-7

Question 32

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

Accepted Answer

r = -4

Answer

r = 2

Answer

r = -2

Answer

r = 4

Question 33

Find the common ratio: 64, -16, 4, -1, ...

Accepted Answer

r = -1/4

Answer

r = -8

Answer

r = -4

Answer

r = 4

Question 34

Which formula is used to find the explicit equation for geometric sequences?

Accepted Answer

a_n = a₁ * r^n-1

Answer

a_n = a_n-1 + d

Answer

a_n = a_n-1 * r

Answer

a_n = a₁ + d(n-1)

Question 35

Write an explicit rule for the general term of the sequence 5, 15, 45, . . . ?

Accepted Answer

a_n = 5(3)^n-1

Answer

a_n = a_n-1 x 3

Answer

a_n = 3(5)^n-1

Answer

a_n = 5 + (n-1)3

Question 36

Given the sequence:
125, 25, 5, ....
Write the explicit rule:

Accepted Answer

t(n) = 625(1/5)⁽ⁿ⁾

Answer

t(n) = (125)(5)⁽ⁿ⁾

Answer

t(n) = 625(5)⁽ⁿ⁾

Answer

t(n) = 125 + 5n

Question 37

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

Accepted Answer

arithmetic

Answer

geometric

Answer

neither

Question 38

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

Accepted Answer

geometric

Answer

arithmetic

Answer

neither

Question 39

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

Accepted Answer

geometric

Answer

arithmetic

Answer

neither

Question 40

Find the common ratio for the geometric sequence.

Accepted Answer

2

Answer

10

Answer

1/2

Answer

4

Question 41

Write the explicit formula for the geometric sequence.

Accepted Answer

a_n = 10(2)^n-1

Answer

a_n = 2(10)^n-1

Answer

a_n = 10(2)ⁿ

Answer

a_n = 2(10)ⁿ

Question 42

Where is Mr. Puente from?

Accepted Answer

New York, my guy

Answer

North Providence

Answer

Boston

Answer

Providence

Question 43

I'm thinking of a number from one to a million...

Accepted Answer

It's 13

Answer

No seriously, it's 13

Answer

It's 13, my guy

Answer

The answer is literally always 13

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