SOLUTION: An infinite geometric series has 1 and 1/5 as its first two terms: 1, 1/5, 1/25, 1/125,... what is the sum, S, of the infinite series?

Question 175168: An infinite geometric series has 1 and 1/5 as its first two terms: 1, 1/5, 1/25, 1/125,... what is the sum, S, of the infinite series?
Found 2 solutions by jim_thompson5910, Mathtut:
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
The sequence that generates 1, 1/5, 1/25, 1/125,... is . Take note that the sequence is in the form where and .

Remember, the formula for the sum of an infinite series is

Plug in and

Subtract

Invert the fraction and multiply

So the answer is which means that 1+1/5+1/25+1/125+...=5/4
Answer by Mathtut(3670) (Show Source): You can put this solution on YOUR website!
n= natural numbers
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