Quiz about Arithmetic Sequences

Question 1

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

Accepted Answer

No

Answer

Yes

Question 2

Is the sequence arithmetic: 17, 9, 1, -7, ...

Accepted Answer

Yes

Answer

No

Question 3

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

Accepted Answer

d = 5

Answer

d = -5

Answer

d = -6

Answer

d = 6

Question 4

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

Accepted Answer

d = -8

Answer

d = -10

Answer

d = -9

Answer

d = -7

Question 5

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 6

Find the next three terms in the arithmetic sequence: 25, 34, 43, 52, ...

Accepted Answer

61, 70, 79

Answer

63, 72, 81

Answer

79, 88, 97

Answer

70, 79, 88

Question 7

Select the explicit rule that represents the sequence.

Accepted Answer

a_n = 14 + (n - 1)(-3)

Answer

a_n = 14(-3)(n - 1)

Answer

a_n = 3 + (n - 1)(14)

Answer

a_n = -3 + (n - 1)(14)

Question 8

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

(Hint: Write the explicit rule first, then use it to solve)

Accepted Answer

-515

Answer

-490

Answer

-535

Answer

460

Question 9

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

(Hint: Write the explicit rule first, then use it to solve)

Accepted Answer

-146

Answer

-216

Answer

-148

Answer

-150

Question 10

Find the 22nd term of the following sequence:

5, 8, 11, ...

(Hint: Write the explicit rule first, then use it to solve)

Accepted Answer

68

Answer

14

Answer

63

Answer

71

Question 11

Find the 32nd term of this sequence.

34, 37, 40, 43, ...

(Hint: Write the explicit rule first, then use it to solve)

Accepted Answer

127

Answer

32

Answer

64

Answer

356

Question 12

Select the explicit rule that represents the sequence.

Accepted Answer

a_n = 6 + 5(n - 1)

Answer

a_n = 4 + 6(n - 1)

Answer

a_n = 6 - 4(n - 1)

Question 13

Given the sequence:

25, 21, 17, 13,...

Write the explicit equation that models the sequence.

Accepted Answer

a_n= 25 +(n-1)(-4)

Answer

a_n = 25 + (n-1)4

Answer

a_n = 29 + (n-1)(-4)

Answer

a_n = 29 +(n-1)(4)

Question 14

Create the explicit formula for the sequence:

2, 8, 14, ...

Accepted Answer

y=6x-4

Answer

y=2+6x

Answer

y=-6+6x

Answer

y=4-6x

Arithmetic Sequences

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