SOLUTION: Would you mind helping me with this exercise, please. Thank You! Use sigma notation to express the following infinite geometric sum and then evaluate the sum to two decimal pla

Algebra ->  Sequences-and-series -> SOLUTION: Would you mind helping me with this exercise, please. Thank You! Use sigma notation to express the following infinite geometric sum and then evaluate the sum to two decimal pla      Log On


   

Question 352080: Would you mind helping me with this exercise, please.
Thank You!
Use sigma notation to express the following infinite geometric sum and then evaluate the sum to two decimal places.
8+(-6)+4.5+(-3.375)...
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
a=8
r=-3%2F4
.
.
S=sum%288r%5En%2Cn=0%2Cinfinity%29
.
.
S=8%2Asum%28r%5En%2Cn=0%2Cinfinity%29
.
.
S=8%2A%281%2Bsum%28r%5En%2Cn=1%2Cinfinity%29%29
.
.
S=8%2A%281%2Br%2F%281-r%29%29
.
.
S=8%2A%281%2B%28-3%2F4%29%2F%281%2B3%2F4%29%29
.
.
S=8%2A%281%2B%28-3%2F4%29%2F%287%2F4%29%29
.
.
S=8%2A%281-3%2F7%29
.
.
S=8%2A%284%2F7%29
.
.
highlight%28S=32%2F7%29
.
.
You can then get the answer to 2 decimal places.