# Try this series

Algebra Level pending

let

$$\large{S=\frac{4}{2}+\frac{12}{10}+\frac{20}{50}+\frac{28}{170}+\frac{36}{442}}$$

If $$S$$ can be simplified to $$\frac{a}{b}$$ where $$a,b$$ are co prime integers.

Find $$a+b$$

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