1/2 + (1/2)^2 +(1/2)^3 +….+ (1/2)^36 Question 1/2 + (1/2)^2 +(1/2)^3 +….+ (1/2)^36 in progress 0 Môn Toán Huy Gia 5 years 2020-12-01T08:51:08+00:00 2020-12-01T08:51:08+00:00 2 Answers 92 views 0
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Đáp án:
Giải thích các bước giải:
Đặt `A=1/2 + (1/2)^2 +(1/2)^3 +….+ (1/2)^36`
`=>2A=1+1/2+1/(2^2)+….+1/(2^35)`
`2A-A=A=1-1/(2^36)`
Học tốt .-.
Đặt `A=1/2 + (1/2)^2 +(1/2)^3 +….+ (1/2)^36`
`2A =1+1/2+(1/2)^2+…+(1/2)^35`
`2A-A =1-(1/2)^35`
Hay `1/2 + (1/2)^2 +(1/2)^3 +….+ (1/2)^36=1-(1/2)^35`