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# Algebra

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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

#1
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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
+2448
0

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