Sequences

Create the explicit formula for the sequence:
2, 8, 14, ...
(Hint:  Write your formula and then simplify it.)

• a_n=2+6n
• a_n=-6+6n
• a_n=6n-4
• a_n=4-6n

Tags

CCSS.HSF.BF.A.2

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

• 8
• 11
• -11
• -8

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

• 32
• 64
• 127
• 356

Tags

CCSS.HSF.BF.A.2

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

• 18
• 17
• 15
• 14

Select the explicit rule that represents the sequence.

• 6 + 5(n - 1)
• 4 + 6(n - 1)
• 6 - 4(n - 1)

Write the recursive formula of 13, 9, 5...

• a_n=a_n-1 - 4
• a_n=a_n-1 + 3
• a_n=a_n-1 - 5
• a_n=a_n-1 + 4

Tags

CCSS.HSF.BF.A.2

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

• arithmetic
• geometric
• neither

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

• arithmetic
• geometric
• neither

Find the common ratio for the geometric sequence.

• 1
• -1
• 7
• -7

Write the explicit formula for the geometric sequence.

• a_n = 7(1)ⁿ
• a_n = 7(-1)ⁿ
• a_n = 7(-1)^n-1
• a_n = -1(7)^n-1