Sequences Practice

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

• d = -10
• d = -9
• d = -8
• d = -7

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

• Yes
• No

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

• -515
• -490
• -535
• 460

Find the first term of the given sequence:

a₁₄=68 and d=3

• 14

• 20

• 26

• 29

Given the sequence: 25, 21, 17, 13,...

Write the explicit equation that models the sequence. (Hint: write the a_n and simplify.)

• a_n = 4n + 29

• a_n = -4n + 25

• a_n = -4n + 29

• a_n = 4n + 25

Find the next three terms for the geometric sequence:
64, 16, 4,...

• 0, -4, -8
• 1, ¼, 1/16
• 1, -3, -7
• cannot be determined

Find the common ratio for the geometric sequence:
64, 16, 4,...

• 4
• -4
• ¼
• -¼

Determine the common ratio for the geometric sequence:
2, -12, 72, ...

• 6
• -⅙
• -6
• ⅙

Write the explicit rule for the geometric sequence:
2, -12, 72, ...

• a_n = 72(-6)^n-1
• a_n = 2(-6)^n-1
• a_n = 2(6)^n-1
• a_n = 72(-6)^n-1

Find the eighth term of a geometric sequence for which a₃ = 224 and r = -½.

• -28
• -112
• 56
• -7