Вычислите:(5+1)(5^2+1)(5^4+1)(5^8+1)*...*(5^1024+1)-0,25*5^2048. Created by cynicaldoomer. algebra-ru

Вычислите:(5+1)(5^2+1)(5^4+1)(5^8+1)*...*(5^1024+1)-0,25*5^2048...

cynicaldoomer @cynicaldoomer

September 2021 1 7 Report

Вычислите:

(5+1)(5^2+1)(5^4+1)(5^8+1)*...*(5^1024+1)-0,25*5^2048

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NeZeRAvix

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$\sf (5+1)(5^2+1)< \cdot \cdot \cdot >(5^{1024}+1)-0.25\cdot5^{2048}= \\ =\dfrac{(5-1)(5+1)(5^2+1)< \cdot \cdot \cdot >(5^{1024}+1)}{4}-\dfrac{1}{4}\cdot5^{2048}= \\ =\dfrac{1}{4}(5^{2048}-1)-\dfrac{1}{4}\cdot5^{2048}=\boxed{\sf-\dfrac{1}{4}}$

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cynicaldoomer спасибо бро!

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cynicaldoomer September 2021 | 0 Ответы

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