\[\large \displaystyle\sum_{n=1}^{1999}\dfrac{9^{n/2000}}{9^{n/2000}+3}\]

If the value of the summation above can be expressed as \(\dfrac ab\), where \(a\) and \(b\) are coprime positive integers, find \(a+b\).

×

Problem Loading...

Note Loading...

Set Loading...