Arithmetic and Geometric 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

The next term of the sequence 2,4,8,16 is

• 64

• 32

• 108

• 20

Tags

CCSS.HSF.BF.A.2

-21, -16, -11, -6, ...

Is this sequence arithmetic, geometric, or neither?

• arithmetic (common difference d = 5)

• geometric (common ratio r = 5)

• neither

Tags

CCSS.HSF.BF.A.2

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

• 14
• 68
• 63
• 71

Tags

CCSS.HSF.BF.A.2

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

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.LE.A.2

Given the sequence  $3,\ 1.2,\ -0.6,\ -2.4,\ ...$  , find  $a_{35}$  

• -58.2

• 58.2

• 64.2

• -64.2

Tags

CCSS.HSF.BF.A.2

Given the sequence $-\frac{7}{5},\ \frac{4}{15},\ \frac{29}{15},\ \frac{18}{5},\ ...$  find  $a_{27}$  

•  $\frac{629}{15}$  

•  $\frac{71}{5}$  

•  $\frac{671}{15}$  

•  $\frac{109}{15}$  

Tags

CCSS.HSF.BF.A.2

Find the first term in the sequence for which  $a_{31}=197\ and\ d=10$  

•  $-103$  

•  $-113$  

•  $103$  

•  $113$  

Tags

CCSS.HSF.BF.A.2

Given $a_{26}=38,\ \ d=\frac{3}{2}$  

Find  $a_{35}$  

• 51.5

• 54.5

• 53

• 50

Tags

CCSS.HSF.BF.A.2