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## Homework Statement

The integers 1 thru 40 are painted on the outside

rim of a circular disk, in “random” order. Prove that some consecutive

set of three integers must have a sum that is greater than 61. Hint: this

question is not about induction, but about summations of sequences.

## Homework Equations

n/a

## The Attempt at a Solution

I have no idea where to even start on this one.