Câu hỏi của Thai Duong

Question

Rut gon bieu thuc: A=1+ 1/2+ 1/22+ 1/23+ ... +1/22012GIUP MINH NHANH NHE

Trần Đức Thắng · Accepted Answer

2A = 2 + 1 + 1/2 + 1/2^2 + ... + 1/2^2011A = 1 + 1/2 + .. + 1/2^2011 + 1/2^20122A  - A = 2 + 1 + 1/2 + .. + 1/2^2011 - 1 - 1/2 - ... - 1/2^2011 - 1/2^2012A = 2 - 1/2^2012A = $\frac{2^{2012}-2}{2^{2012}}$Câu trả lời: 2A = 2 + 1 + 1/2 + 1/2^2 + ... + 1/2^2011A = 1 + 1/2 + .. + 1/2^2011 + 1/2^20122A  - A = 2 + 1 + 1/2 + .. + 1/2^2011 - 1 - 1/2 - ... - 1/2^2011 - 1/2^2012A = 2 - 1/2^2012A = $\frac{2^{2012}-2}{2^{2012}}$

Kim Mi Young · Answer

A = 1+1/2+1/2^2+1/2^3+.....+1/2^20122A= 2. (1+1/2+1/2^2+1/2^3+.....+1/2^2012)2A= 2 + 1 + 1/2 + 1/2^2 + 1/2^3 + ...+ 1/2^20112A - A= (2 + 1 + 1/2 + 1/2^2 + 1/2^3+ ...+ 1/2^2011) - (1+1/2+1/2^2+1/2^3+.....+1/2^2012)1A= 2 + 1 + 1/2 + 1/2^2 + 1/2^3 + ...+ 1/2^2011 - 1-1/2-1/2^2+1/2^3+.....+1/2^20121A= 2 - 1/2^2012A= 2-1/2^2012A= 2 - 1/2^2012Câu trả lời: A = 1+1/2+1/2^2+1/2^3+.....+1/2^20122A= 2. (1+1/2+1/2^2+1/2^3+.....+1/2^2012)2A= 2 + 1 + 1/2 + 1/2^2 + 1/2^3 + ...+ 1/2^20112A - A= (2 + 1 + 1/2 + 1/2^2 + 1/2^3+ ...+ 1/2^2011) - (1+1/2+1/2^2+1/2^3+.....+1/2^2012)1A= 2 + 1 + 1/2 + 1/2^2 + 1/2^3 + ...+ 1/2^2011 - 1-1/2-1/2^2+1/2^3+.....+1/2^20121A= 2 - 1/2^2012A= 2-1/2^2012A= 2 - 1/2^2012

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