найдите сумму первых шести членов геометрической прогрессии: б) 5; -2,5; .... Created by helpyouandyou. algebra-ru

найдите сумму первых шести членов геометрической прогрессии: б) 5; -2,5;...

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August 2021 1 15 Report

найдите сумму первых шести членов геометрической прогрессии: б) 5; -2,5; ...

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$b_{n}:\; 5\; ;\; -2,5\; ;\, ...\\\\q=\frac{b_2}{b_1}= \frac{-2,5}{5}=-0,5\\\\S_6=\frac{b_1\cdot (q^6-1)}{q-1}= \frac{5\cdot (0,03125-1)}{-0,5-1} = \frac{-4,84375}{-1,5}=3 \frac{34375}{150000}=3 \frac{11}{48}$

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