SOLUTION: the first three terms of a geometric progression are 100,90 and 81 , the common ratio is 0.9 Find the sum to infinity of its terms ? Can someone explain this step by step p

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Question 1029200: the first three terms of a geometric progression are 100,90 and 81 , the common ratio is 0.9
Find the sum to infinity of its terms ?
Can someone explain this step by step please
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
A%5Bn%5D=100%280.9%29%5E%28n%29
.
.
.
The sum of the geometric series,
sum%28r%5Ek%2Ck=0%2Cinfinity%29=1%2F%281-r%29
So then,
S=100%2A%281%2F%281-0.9%29%29
S=100%2A%281%2F0.1%29
S=100%2A%2810%29
S=1000