SOLUTION: Evaluate each infinite geometric series. http://assets.openstudy.com/updates/attachments/5196e052e4b0e2ba86d44a29-helperoc101-1368842331108-untitled256.png

Algebra ->  Sequences-and-series -> SOLUTION: Evaluate each infinite geometric series. http://assets.openstudy.com/updates/attachments/5196e052e4b0e2ba86d44a29-helperoc101-1368842331108-untitled256.png      Log On


   

Question 750011: Evaluate each infinite geometric series.
http://assets.openstudy.com/updates/attachments/5196e052e4b0e2ba86d44a29-helperoc101-1368842331108-untitled256.png
Found 2 solutions by reviewermath, MathLover1:
Answer by reviewermath(1029) About Me  (Show Source):
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
sum%283%280.4%29%5E%28n-1%29%2Cn=1%2Cinfinity%29
sum%283%284%2F10%29%5E%28n-1%29%2Cn=1%2Cinfinity%29

sum%283%282%2F5%29%5E%28n-1%29%2Cn=1%2Cinfinity%29
use partial fractions

if m -> infinity, then %282%2F5%29%5Em=0; so, we will have
sum%283%282%2F5%29%5E%28n-1%29%2Cn=1%2Cm%29=-5%2A%280-1%29=-5%2A0-5%2A%28-1%29=5