Quiz about Arithmetic Sequences

Question 1

Is the following sequence arithmetic?
21, 13, 5, -3, ...

Accepted Answer

YES

Answer

NO

Question 2

Is the following sequence arithmetic?
1, 4, 9, 16, ...

Accepted Answer

NO

Answer

YES

Question 3

Determine the common difference for the arithmetic sequence
-5, 12, 29, 46, ...

Accepted Answer

17

Answer

7

Answer

-7

Answer

-17

Question 4

Determine the common difference for the arithmetic sequence
9, 16, 23, 30, ...

Accepted Answer

7

Answer

17

Answer

-7

Answer

-17

Question 5

Find the next three terms for the arithmetic sequence
12, 7, 2, -3, ...

Accepted Answer

-8, -13, -18

Answer

8, 13, 18

Answer

-7, -11, -15

Answer

7, 11, 15

Question 6

Find the next three terms for the arithmetic sequence
19, 31, 43, 55, ...

Accepted Answer

67, 79, 91

Answer

66, 77, 88

Answer

65, 74, 83

Answer

63, 71, 79

Question 7

Write the recursive rule for the arithmetic sequence
82, 76, 70, 64, ...

Accepted Answer

a₁=82; a_n = a_n-1-6

Answer

a₁=64; a_n = a_n-1-6

Answer

a₁=82; a_n = a_n-1+6

Answer

a₁=64; a_n = a_n-1+6

Question 8

Write the recursive rule for the arithmetic sequence
-49, -35, -21, -7, ...

Accepted Answer

a₁=-49; a_n = a_n-1 + 14

Answer

a₁=-49; a_n = a_n-1 + 10

Answer

a₁=-7; a_n = a_n-1 + 14

Answer

a₁= -49; a_n = a_n-1 -14

Question 9

Write the explicit rule for the arithmetic sequence
-10, -3, 4, 11,...

Accepted Answer

a_n = 7n - 17

Answer

a_n= 10n + 17

Answer

a_n = -7n + 17

Answer

a_n = 7n + 3

Question 10

Write the explicit rule for the arithmetic sequence
12, 10, 8, 6, ...

Accepted Answer

a_n= -2n + 14

Answer

a_n = 12n - 14

Answer

a_n= 2n - 14

Answer

a_n= -12n + 14

Question 11

Write the explicit rule for the arithmetic sequence
9, 13, 17, 21, ...

Accepted Answer

a_n= 4n + 5

Answer

a_n= -4n + 5

Answer

a_n= -9n + 14

Answer

a_n= 9n - 5

Question 12

Identify a₁ and d for the sequence
-5, -2, 1, 4, ...

Accepted Answer

a₁ = -5 and d = 3

Answer

a₁ = 3 and d = -5

Answer

a₁= -8 and d = 3

Answer

a₁ = -5 and d = -3

Question 13

Identify the rule as recursive or explicit, then find the first 4 terms of the sequence.
a₁ = 100; a_n = a_n-1 - 8

Accepted Answer

Recursive; 100, 92, 84, 76

Answer

Explicit; 100, 92, 84, 76

Answer

Explicit; 100, 108, 116, 124

Answer

Recursive; 100, 108, 116, 124

Question 14

Identify the rule as recursive or explicit, then find the first 4 terms of the sequence.
a_n = -4n - 1

Accepted Answer

Explicit; -5, -9, -13, -17

Answer

Explicit; -3, -7, -11, -15

Answer

Recursive; -3, -7, -11, -15

Answer

Recursive; -5, -9, -13, -17

Question 15

Find the given term for the sequence.
Find a₆₄ for a_n = 5n + 4

Accepted Answer

324

Answer

9

Answer

320

Answer

cannot be determined

Question 16

Find the given term for the sequence.
Find the 30th term of 20, 11, 2, -7, -16, ...

Accepted Answer

-241

Answer

29

Answer

-261

Answer

cannot be determined

Question 17

Given an arithmetic sequence where a₃₂ = 109 and a₄₆ = 193, find a₃₁₁.

Accepted Answer

1783

Answer

295

Answer

-77

Answer

1860

Arithmetic Sequences

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