Geometric Series

Question 1

A high-interest savings account pays 5.5% interest compounded annually. If $300 is deposited initially and again at the first of each year, which summation represents the money in the account 10 years after the initial deposit?

Revolt · Accepted Answer

Sigma-Summation Underscript n = 1 Overscript 10 EndScripts 316.5 (1.055) Superscript n minus 1

Question 2

The formula for the sum of an infinite geometric series, , may be used to convert to a fraction. What are the values of and r?

Revolt · Accepted Answer

a 1 = StartFraction 23 Over 100 EndFraction, r = StartFraction 1 Over 100 EndFraction

Question 3

What are the values of and r of the geometric series?1 + 3 + 9 + 27 + 81

Revolt · Accepted Answer

a 1 = 1 and r = 3

Question 4

Which equation represents the partial sum of the geometric series?

Revolt · Accepted Answer

125 + 25 + 5 + 1

Question 5

Which fraction represents the decimal ?

Revolt · Accepted Answer

StartFraction 4 Over 33 EndFraction

Question 6

Which geometric series represents 0.4444... as a fraction?

Revolt · Accepted Answer

Four-tenths + startFraction 4 Over 100 EndFraction + StartFraction 4 Over 1,000 EndFraction + StartFraction 4 Over 10,000 EndFraction + ellipsis

Question 7

What is the sum of the infinite geometric series?

Revolt · Accepted Answer

–288

Question 8

What is the value of a1 of the geometric series?

Revolt · Accepted Answer

12

Question 9

What are the values of a1 and r of the geometric series? 2 – 2 + 2 – 2 + 2

Revolt · Accepted Answer

a1 = 2 and r = –1

Question 10

What is the value of r of the geometric series?

Revolt · Accepted Answer

0.8

Geometric Series Answers

More from this Course

TRY EDGENUITY HACKS