What ? Sequence , Ah Ok!

Algebra Level 3

Observe the Sequence Below :

S=113+12+19+14127+18+181+1161243+S= 1 - \frac{1}{3}+ \frac{1}{2}+ \frac{1}{9}+ \frac{1}{4}- \frac{1}{27}+ \frac{1}{8}+ \frac{1}{81}+ \frac{1}{16}- \frac{1}{243} + \cdot \cdot \cdot \cdot \cdot \cdot \cdot

What Is the Value of SS ?

  • SS Can Be Written as ab\frac{a}{b} Where aa and bb are coprime positive integers.

Find a+ba+b

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