найдите четвертый член геометрической прогрессии если b1=18, q=-1/3. Created by heheBoiiii. algebra-ru

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August 2022 1 11 Report

найдите четвертый член геометрической прогрессии если b1=18, q=-1/3

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br16

$b_1=18\;\;,\;\;q=-\dfrac{1}{3}\;\;,\;\;b_4-?\\\\b_n=b_1\cdot q^{n-1}\\\\b_4=b_1\cdot q^{4-1}=b_1\cdot q^3=18\cdot\bigg(-\dfrac{1}{3}\bigg)^3=-18\cdot\dfrac{1}{3^3}=\\\\=-18\cdot\dfrac{1}{27}=-2\cdot\dfrac{1}{3}=-\dfrac{2}{3}$

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