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Equalities : Summations

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In the answer given by an OTA to a previous question I had asked, there are three steps I do not understand.

Step 1

Why is it that

Step 2

Why do we have

Step 3

Finally, why is the previous line equal to

I would be very grateful if you could explain these three steps to me.

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Step 1

Why is it that

Step 2

Why do we have

Step 3

Finally, why is the previous line equal to

I try to give ...

Solution Summary

Some equalities are clarified. The solution is detailed and well presented.

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