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Proof of arithmetic series sum formula
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Step-by-step tutorial.
Arithmetic sequence: a,a+d,a+2d,a+3d,…
The nth term: a_n=a+(n-1)d
The nth partial sum: S_n=n/2 (a_1+a_n )=n/2 [2a+(n-1)d]
Arithmetic sequence: a,a+d,a+2d,a+3d,…
The nth term: a_n=a+(n-1)d
The nth partial sum: S_n=n/2 (a_1+a_n )=n/2 [2a+(n-1)d]