Предмет: Математика, автор: shutarepin01

Вычислите сумму геометрической прогрессии
256; 128; 64; 32;...

Ответы

Автор ответа: genius20
1

Найдём знаменатель прогрессии:

q=\dfrac{b_2}{b_1}=\dfrac{128}{256}=\dfrac{1}{2}

Сумма вычисляется по формуле:

S=\dfrac{b_1}{1-q}\\\\S=\dfrac{256}{1-1/2}=\dfrac{256}{0{,}5}=256 \cdot 2=512

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