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

All the terms of the arithmetic progression u1,u2,u3...,un are positive. Use mathematical induction to prove that, for n>= 2, n is an element of all positive integers,

[ 1/ (u1u2) ] + [ 1/ (u2u3) ] + [ 1/ (u3u4) ] + ... + [ 1/ (un-1un) ] = ( n - 1 ) / ( u1un)

2. Relevant equations

3. The attempt at a solution

I proved that P(2) is true. However, I tried to prove that P(K+1) is true but to no avail.

Thanks.

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# Homework Help: Mathematical induction and arithmetic progression

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