Explore BrainMass

Sum of consecutive odd integers

If m and n are odd integers with n>1, given the sum of n consecutive odd integers, starting with m, is 18,079. Find all possible values of m and n.

Solution Preview

Here's a complete solution of the problem:

The first thing to do is to write the sum in question, which is
s = sum_(i=0)^(n-1){ m+2i } = m + m+2 + m+4 + ... + m+2(n-1)
(This notation sum_(i=0)^(n-1){ f(i) } means take the sum of the ...

Solution Summary

This shows how to find consecutive odd integers with a given sum.