Mathematics
Senior High
Resolved
こういう感じでΣの上にだいたいはnだと思うんですけど、たまにn-1やn+1がのってて、こういう時ってどうやって計算すればいいんですか?
n-1
(8) (2k-k²)
k=1
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Σ(k=1→n-1)(2^k-k²)=[2{2^(n-1)-1}/(2-1)]-(1/6)(n-1)n(2n-1)=(2^n)-2-(1/6)(n-1)n(2n-1)