Question

suma gauss 2+4+6.......+9002
$2 + 4 + 6........ + 9002$
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Answer 1

$2 + 4 + ... + 9002 \\ = 2(1 + 2 + ... + 4501) \\ \\ = \not2 \times \frac{4501(4501 + 1)}{\not2} \\ \\ = 4501 \times 4502 \\ = 20.263.502$

Formula sumei gauss pentru 1+2+3+...+n=[n(n+1)/2]