Sequences and Series Review

Describe the sequence, find the 5th term, and write the rule

-8, -6, -4, -2...

• geometric, a₅ = 2, a_n = 2n - 10

• geometric, a₅ = 0, a_n = -10n + 2

• arithmetic, a₅ = 2, a_n = -10n + 2

• arithmetic, a₅ = 0, a_n = 2n - 10

Tags

CCSS.HSF.BF.A.2

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

• 8
• 11
• -11
• -8

Tags

CCSS.HSF.BF.A.2

Evaluate the series.

• 36
• 85
• 35
• 86

Find the sum for the following series. 

• 44
• -162
• -682
• 324

Tags

CCSS.HSA.SSE.B.4

Find the common difference:  a₂ = 6 and a₆ = -14

• -1
• -5
• -2
• 2

Tags

CCSS.HSF.BF.A.2

What is the sum of the first 50 terms of the series 2 + 17 + 32 + 47 + ...?

• 1,600
• 18,235
• 18,475
• 19,125

What is the recursive rule for the sequence 
2, 6, 18, 54, ...?

• a_n=2(3)^n-1
• a₁ = 2, a_n = a_n-1 + 4
• a₁ = 2, a_n = 3a_n-1
• a₁ = 3, a_n = 2a_n-1

Tags

CCSS.HSF.IF.A.3

What is the fourth term of the sequence defined by

a₁ = 3,

a_n = a_n-1 – 7

• –1

• –6

• –18

• –10

Tags

CCSS.HSF.BF.A.2

Given the recursive formula, find the explicit form
a_n = a_n-1 + 5
a₁ = -16

• a_n = 5 + (n-1)(-16)
• a_n = -11 + (n-1)(5)
• a_n = 16 + (n-1)(5)
• a_n = -16 + (n-1)(5)

Tags

CCSS.HSF.BF.A.2

Write the EXPLICIT rule for the arithmetic sequence

-10, -3, 4, 11,...

• a_n = 10n + 17

• a_n = 7n - 17

• a_n = -7n + 17

• a_n = 7n + 3

Tags

CCSS.HSF.BF.A.2