AnswersDHS Algebra 2 VGeometric Series

Finite Geometric Series Answers

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Which did you include in your response?

A
Find the third year’s salary by multiplying the second year’s salary by 1.05
B
Find the fourth year’s salary by multiplying the third year’s salary by 1.05.
C
Find the fifth year’s salary by multiplying the fourth year’s salary by 1.05.
D
The salaries form a geometric sequence because the athlete’s salary changes by a common ratio of 1.05 each year.
3

a3 =

Answer:

441

4

a4 =

Answer:

463

8

Question text not available

Answers:
Blank 1:400
Blank 2:1.05
10

Identify the formula that can be used to find the athlete’s salary, in thousands of dollars, for year n?

A
an = 400(0.05)n – 1
B
an = 400(1.05)n – 1
C
an = 400(0.05)n
D
an = 400(1.05)n
13

Would you use the same method to find the eighth partial sum as you used to find the fifth partial sum? Why or why not?

Answer:

Yes, I would use the same method because the formula for the nth partial sum of a geometric series, S_n = a1(1 - r^n) / (1 - r), works for any value of n. Using the formula is consistent and efficient

14

What is r?

Answer:

1.05

15

a2 =

Answer:

420

16

Which of the following did you include in your response?

A
Add the five terms.
B
Use the formula for the fifth partial sum.
C
The fifth partial sum represents the total amount of money the athlete earns over the first five years.
17

Which did you include in your response?

A
Yes, I would use the same method.
B
No, I would use a different method.
C
A statement explaining why you would use the same or a different method.

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