MathDB

Sequence

Source:

November 28, 2005

SFFTspecial factorizations

Problem Statement

Consider the sequence defined by

a_k=\frac 1{k^2+k}

for

k\ge 1.

Given that

a_m+a_{m+1}+\cdots+a_{n-1}=1/29,

for positive integers

m

and

n

with

m<n

, find

m+n.