- #1

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## Main Question or Discussion Point

Please explain the difference between these two statements.

1 + 2 + ... + n = 1/2n(n+1) for all n in the natural numbers

1 + 1/2 + 1/4 + ... + 1/2^n = 2 - 1/2^n for all n in the natural numbers

Why does the first explicitly show two terms being summed whereas the second shows 3 terms being summed...

I don't think I have a good understanding of how to work with these things...

1 + 2 + ... + n = 1/2n(n+1) for all n in the natural numbers

1 + 1/2 + 1/4 + ... + 1/2^n = 2 - 1/2^n for all n in the natural numbers

Why does the first explicitly show two terms being summed whereas the second shows 3 terms being summed...

I don't think I have a good understanding of how to work with these things...