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Question Number 77513 by BK last updated on 07/Jan/20

Commented by Kunal12588 last updated on 07/Jan/20

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Commented by MJS last updated on 07/Jan/20

let′s just give it a name  BK_n =Σ_(k=1) ^n (−1)^(j+1) k^k   ⇒ answer is BK_(100)   I hope you′re satisfied

$$\mathrm{let}'\mathrm{s}\:\mathrm{just}\:\mathrm{give}\:\mathrm{it}\:\mathrm{a}\:\mathrm{name} \\ $$$${BK}_{{n}} =\underset{{k}=\mathrm{1}} {\overset{{n}} {\sum}}\left(−\mathrm{1}\right)^{{j}+\mathrm{1}} {k}^{{k}} \\ $$$$\Rightarrow\:\mathrm{answer}\:\mathrm{is}\:{BK}_{\mathrm{100}} \\ $$$$\mathrm{I}\:\mathrm{hope}\:\mathrm{you}'\mathrm{re}\:\mathrm{satisfied} \\ $$

Commented by mr W last updated on 07/Jan/20

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