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#### karush

##### Well-known member

- Jan 31, 2012

- 2,928

Let $S_n$ be the sum of the first $n$ terms of the arithmetic series $2+4+6+...$

this one looks simple $S_n=2+2n$

Find $S_4$ and $S_{100}$

$S_4=2+2(4)=9$

$S_100=2+2(100)=202$

is

*arithmetic series*and

*arithmetic sequence*the same thing?