Sequences and Series Test Review

Evaluate  $\sum_{k=1}^7\left(4k-3\right)$  

• 87

• 91

• 95

• 25

What is the formula for the general term of the sequence  $-64,16,-4,\ 1...$  ?

•  $a_n=-64\left(-\frac{1}{4}\right)^{n-1}$  

•  $a_n=64\left(\frac{1}{4}\right)^{n-1}$  

•  $a_n=64\left(4\right)^{n-1}$  

•  $a_n=-64\left(-4\right)^{n-1}$  

Tags

CCSS.HSF.BF.A.2

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

Tags

CCSS.HSF.BF.A.2

Find the 32nd term of this sequence.

34, 37, 40, 43, ...

• 32

• 64

• 127

• 356

Tags

CCSS.HSF.BF.A.2

Find the common ratio (multiplier):  a₁ = 4 and a₄ = 256

• 84
• 64
• 4
• 8

Tags

CCSS.HSF.BF.A.2

Determine the number of terms, n , for the given finite geometric sequence.

• 6

• 5

• 4

• 3

Tags

CCSS.HSA.SSE.B.4

For a year, a young girl is given an allowance of 5 pennies the 1st week, 10 pennies the 2nd week, 15 pennies the 3rd week, and so on for an entire 52-week year. How much money will she have at the end of the year?

• $2.65

• $67.60

• $68.90

• $71.50

Tags

CCSS.HSF.BF.A.2

Find the sum of the infinite geometric series, if it exists:

5 + 4 + 3.2 + 2.56 + ...

• 25

• 5

• -1

• 0.8

Rewrite the series below in sigma notation:

3+13+23+33+43

• $\sum_{n=1}^5\left(10n-7\right)$

• $\sum_{n=1}^5\left(10n+3\right)$

• $\sum_{n=1}^5\left(3n+10\right)$

• $\sum_{n=3}^{43}\left(n\right)$

Tags

CCSS.HSF.BF.A.2

A woman made $80,000 during her first year of her new job in business. Each subsequent year she will earn 100% of the previous year’s salary plus a 15% raise.

Find her total earnings during her first 4 years on the job.

• $399,370

• $450,000

• $121,670

• $100,435

Tags

CCSS.HSF.BF.A.2