1. The problem statement, all variables and given/known data(adsbygoogle = window.adsbygoogle || []).push({});

∑ i=1 to n1+(1/i2)+(1/(1+i)2)−−−−−−−−−−−−−−−−−−−−√ = n(n+2)/n+1

2. The attempt at a solution

First I did the base case of p(1) showing 3/2 on the LHS equals the 3/2 on the RHS.

Then I assumed p(k) and wrote out the formula with k in it.

Then prove p(k+1)= p(k)+ 1+1/(k+1)2+1/(k+2)2−−−−−−−−−−−−−−−−−−−−−−√

=k(k+2)/k+1 + 1+1/(k+1)2+1/(k+2)2−−−−−−−−−−−−−−−−−−−−−−√

Then I squared each to get rid of the square root.

(k(k+2)/(k+1))^2+ (k+1)^2/(k+1)^2 + 1/(k+1)^2 + 1/(k+2)^2

Now I'm stuck any Guidance would be great thanks!

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# Homework Help: Induction Help

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