Alg -2 Fall 2024 Sequences Test

Given the sequence:
 25, 21, 17, 13,...
Write the explicit equation that models the sequence.

• a_n = 4n + 29
• a_n = -4n + 25
• a_n = -4n + 29
• a_n = 4n + 25

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

• 8
• 11
• -11
• -8

Write a recursive rule for the sequence 17, 1, -15, -31 . . .

• a_n = a_n-1 + 16
• a_n = a_n-1 - 17
• a_n = a_n-1 - 15
• a_n = a_n-1 - 16

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

• 81
• -34
• -146
• -225

Find the 32nd term of this sequence.
34, 37, 40, 43, ...

• 32
• 64
• 127
• 356

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

• 14
• 68
• 63
• 71

What is the 100th term in the sequence a_n = 4n-12

• 388

• 40012

• -388

• 100

Given a₁= 5 and d= 2 find a₆

• 13
• 10
• 15
• 17

Find a₁₈ for the following geometric sequence,

-3, 6, -12, 24,,,

• -37

• -786,432

• 393,216

• 258,280,326

Determine if the sequence is arithmetic or geometric or neither:

-2, -4, -8, -16...

• Arithmetic

• Geometric

• Neither