Arithmetic Sequences and Series

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

• 14
• 68
• 63
• 71

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

Evaluate: $\sum_{x=2}^{11}\left(5x-2\right)$  

• 305

• 503

• 53

• 8

Expand:  $\sum_{k=3}^6\left(2k-1\right)$  

• 4, 6, 8, 10

• 4, 6, 8

• 5, 7, 9, 11

• 5, 7, 9

Tags

CCSS.HSF.BF.A.2

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

• 14
• 20
• 26
• 29

Tags

CCSS.HSF.BF.A.2

Find the sum for the following series. 

• 1.49
• 3.14
• 1.33
• 1.66

Tags

CCSS.HSA.SSE.B.4

Write 1 + 4 + 9 + ... + 49

using sigma notation

• $\sum_{k=1}^7k^2$

• $\sum_{k=1}^8k^2$

• $\sum_{k=1}^{49}k^2$

Tags

CCSS.HSF.BF.A.2

Find the sum of the infinite geometric series, if it exists. $\sum_{n=1}^{\infty}8\left(\frac{1}{5}\right)^{n-1}$  

• 8

• 8/5

• 10

• Does not exist

Evaluate the infinite geometric series:

1 + 1/5 + 1/25 + ...

• 5/4

• 9/5

• 5/6

• 65/27

The local power company plans to raise rates to cover the increased cost of producing power. They determine the costs will increase by 4.2% per year for the next 10 years. If you paid a total of $1031.60 for power last year, what would you expect to pay for power over the next 10 years? 
(Hint: Find a₁, a₁₀, and r)

• $13,020.97
• $10,316.00
• $2,704.97
• $12,220.97

Tags

CCSS.HSF.BF.A.2