+0  
 
0
69
3
avatar

an infinite geometric series has a sum of 2020. a new series, obtained by squaring each term of the original series, has 10 times the sum of the original series. what is the common ratio of the original series

 Jun 20, 2023
 #1
avatar
0

2020 ==F / [1 - r],       

20200=F^2/[1 - r^2], solve for F, r

 

Divide the 2nd by the first:

 

F ==4040 / 203 - this is the first term of the original sequence

r ==201 / 203 - this is the common ratio of the original sequence.

 Jun 20, 2023

9 Online Users

avatar
avatar
avatar
avatar
avatar
avatar
avatar