Re: square of sums



geometric series?

A_i = 1 + a + a^2 + ... + a^i
a * A_i = a + a^2 +.... + a^i + a^(i+1)

A_i - a*A_i = 1 - a^(i+1)

A_i = [1 - a^(i+1)]/[1 - a]

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"oercim" <oercim@xxxxxxxxx> wrote in message
news:1134409257.587259.209860@xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx
> Let
> Ai=1+a+a^2+.......+a^i, then what is Ai^2?
> Is there a rule for the coefficients of each different exponent?
> How can we express it with sigma notation?
>


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