# Telescoping Series 7 – Extension

Algebra Level 2

For what value of $$n$$ do we get

$\frac{1}{1\times 2} + \frac{1}{2\times3} + \frac{1}{3\times4} + \dots + \frac{1}{n\times(n+1)} = 0.998?$

Note: ensure that you can read the entire equation, up to the 0.998 at the end.

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