### Let k be an integer. When can we claim the following? ```math k^2 = k \sum_{i=1}^{k} k ``` Experiment with that expression for several values of k before answering the question.

The question seems to be asking when the equation k^2 = k * Σi=1 to k is true, where k is an integer.

The symbol Σ from i=1 to k is the sum of all integers from 1 to k. This is a well-known formula and it equals to k*(k+1)/2.

So, the equation becomes k^2 = k * k*(k+1)/2.

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