Sequences and Series

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

• 14
• 68
• 63
• 71

Find the first term of the given sequence:
a₁₄=68
d=3

• 14
• 20
• 26
• 29

Find the sum of the series.

• 28

• -29

• 30

• 27

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

• arithmetic
• geometric
• neither

Write the explicit formula for the geometric sequence.

• a_n = 10(2)^n-1
• a_n = 2(10)^n-1
• a_n = 10(2)ⁿ
• a_n = 2(10)ⁿ

Tags

CCSS.HSF.BF.A.2

Evaluate the infinite series described: 

• -16
• -18
• 3
• -15

What is the sum of the first ten terms of the sequence 4, -12, 36, -144 . . . ?

• 59,050
• -59,048
• -78,732
• 118,096

Tags

CCSS.HSA.SSE.B.4

Find the rule for this geometric sequence:
r = 3            a₃ = -12  

• a_n = (-4/3) (3)^n-1
• a_n = -4 (3)^n-1
• a_n = (-3/4) (3) ^n-1

Tags

CCSS.HSF.BF.A.2

Identify the common ratio.
3, 9,27,81, ...

• 6
• 5
• 4
• 3

Tags

CCSS.HSF.BF.A.2

• ⁵/₂
• ⁸¹⁹/₅₁₂
• ⁸/₅
• ²¹/₁₆

Tags

CCSS.HSA.SSE.B.4