# What ? Sequence , Ah Ok !

Algebra Level 3

Observe the Sequence Below :

$$S= 1 - \frac{1}{3}+ \frac{1}{2}+ \frac{1}{9}+ \frac{1}{4}- \frac{1}{27}+ \frac{1}{8}+ \frac{1}{81}+ \frac{1}{16}- \frac{1}{243} + \cdot \cdot \cdot \cdot \cdot \cdot \cdot$$

What Is the Value of $$S$$ ?

• $$S$$ Can Be Written as $$\frac{a}{b}$$ Where $$a$$ and $$b$$ are coprime positive integers.

Find $$a+b$$

×