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?
+2666 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?
+2666 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?
