# Solve this mathematical induction question and youll get 1000 years of good luck!!! (1 Viewer)

#### fan96

##### 617 pages
Hint: we may write

$\bg_white 1 - \frac{1}{(n+1)2^n} + \frac{n+3}{(n+1)(n+2)2^{n+1}}$

as

$\bg_white 1 - \left( \frac{2 \cdot \frac{n+2}{n+1}}{(n+2)2^{n+1}} - \frac{\frac{n+3}{n+1}}{(n+2)2^{n+1}}\right).$

#### YonOra

##### Well-Known Member
Got out of bed to do this... to find TickBoom beat me to it....

I still wan't my good luck tho ;(

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#### Drongoski

##### Well-Known Member
With the 1000 years of good luck on offer, I thought this would be an insanely difficult one. Turns out to be quite straightforward.

#### YonOra

##### Well-Known Member
With the 1000 years of good luck on offer, I thought this would be an insanely difficult one. Turns out to be quite straightforward.
shhh

#### tickboom

##### Member
I've also recorded a video of my working in case you learn better that way:

#### YonOra

##### Well-Known Member
I've also recorded a video of my working in case you learn better that way:

legend