SOLUTION: What is the solution to the infinite geometric series... the lower limit is = to 1. The upper limit is the infinite symbol. 0.8(0.2)^(n-1).

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Question 458353: What is the solution to the infinite geometric series... the lower limit is = to 1. The upper limit is the infinite symbol. 0.8(0.2)^(n-1).
Found 2 solutions by robertb, Edwin McCravy:
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
a%5B1%5D+=+0.8%2A%280.2%29%5E0+=+0.8 and r = 0.2
==> S%5Binfinity%5D+=+a%5B1%5D%2F%281-r%29+=+0.8%2F%281-0.2%29+=+0.8%2F0.8+=+1.

Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!
What is the solution to the infinite geometric series... the lower limit is = to 1. The upper limit is the infinite symbol. 0.8(0.2)^(n-1).

sum%28a%5B1%5Dr%5E%28n-1%29%2C1%2Cinfinity%29+=a%5B1%5D%2F%281-r%29

Substitute a%5B1%5D=0.8%280.2%29%5E%281-1%29=0.8%280.2%29%5E0=0.8%281%29+=+0.8 
and r+=+0.2

sum%280.8%280.2%29%5E%28n-1%29%2C1%2Cinfinity%29=0.8%2F%281-0.2%29=0.8%2F0.8=1

Edwin