Why Is the Sum of 1/2 (n+1)/2?

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theintarnets

I don't understand why the answer to this summation:
_n
Ʃ 1/2
^{i = 0}

is (n+1)/2
Why isn't it just n/2?

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LCKurtz

Science Advisor

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theintarnets said:

I don't understand why the answer to this summation:
_n
Ʃ 1/2
^{i = 0}

is (n+1)/2
Why isn't it just n/2?

Because the index starts at zero. 0,1,2,...n has n+1 terms.