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## Homework Statement

Find n so that:

1/(1+√3) + 1/(√3+√5) + 1/(√5+√7) + .... + 1/(√2n-1 + √2n+1) = 100

Find n so that the same sum equals any number x (instead of 100)

## Homework Equations

sum (1/(√2n-1 + √2n+1) = 100

## The Attempt at a Solution

i have proven using the first 3 given terms that this series cannot be geometric or arithmatic. But if its neither how does my teacher expect me to find when the series equals 100?

what do i do? where do i go from here?