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Let
P = 1/7 + 1/7^2 + 1/7^3 + ...
Then P can be expressed in the form a/b, where a and b are positive integers. Find the smallest possible value of a + b?

 Jul 7, 2022

Best Answer 

 #1
avatar+2448 
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We have an infinite series, and the formula for the sum is \({ \text{starting term} \over {1 - \text{common ratio}}}\)

 

Here, the starting term is \({1 \over 7}\) and the common ratio is \(1 \over 7\)

 

Can you take it from  here?

 Jul 7, 2022
 #1
avatar+2448 
0
Best Answer

We have an infinite series, and the formula for the sum is \({ \text{starting term} \over {1 - \text{common ratio}}}\)

 

Here, the starting term is \({1 \over 7}\) and the common ratio is \(1 \over 7\)

 

Can you take it from  here?

BuilderBoi Jul 7, 2022

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