Q=1+1/2+1/4+1/8+.....+1/256 = ?
Những câu hỏi liên quan
\(\frac{1}{2}+\frac{1}{4}+\frac{1}{8}+\frac{1}{16}+.............+\frac{1}{256}\)
Đặt \(A=\frac{1}{2}+\frac{1}{4}+\frac{1}{8}+...+\frac{1}{256}\)
\(\Rightarrow2A=1+\frac{1}{2}+\frac{1}{4}+...+\frac{1}{128}\)
\(\Rightarrow2A-A=\left(1+\frac{1}{2}+\frac{1}{4}+...+\frac{1}{128}\right)-\left(\frac{1}{2}+\frac{1}{4}+...+\frac{1}{256}\right)\)
\(\Rightarrow A=1-\frac{1}{256}\)
\(\Rightarrow A=\frac{255}{256}\)
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\(\frac{1}{2}+\frac{1}{4}+\frac{1}{8}+...+\frac{1}{256}+\frac{1}{512}\)
A= 1/2 + 1/4+ 1/8+ 1/16 + 1/32 + 1/64 + 1/128 + 1/256 + 1/512
A = 1 - 1/2 + 1/2- 1/4 + 1/4 - 1/8 + 1/8 - 1/16 + 1/16 - 1/32 + 1/32 - 1/64 + 1/64 - 1/128 + 1/128 - 1/256 - 1/256 - 1/512
A = 1 - 1/512
A = 511/512
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(1/2+1/4+1/8.....+1/256+1/512)*2=511/256
A=1/2+1/4+1/8.....+1/256+1/512
2A=1+1/2+1/4+1/8...1/256
A=(1+1/2+1/4+1/8...1/256)-(1/2+1/4+1/8.....+1/256+1/512)
A=1-1/512
A=511/512
511/512
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Q=1+1/2+1/4+1/8+1/16+....+1/256
TÍNH Q?
AI LÀM NHANH MÌNH TK NHA
CẦN GẤP
bn tham khảo link này nha:
https://olm.vn/hoi-dap/detail/1930834278.html
k nha
học tốt
# mui #
b =\(\frac{1}{2}+\frac{1}{4}+\frac{1}{8}+\frac{1}{6}...+\frac{1}{128}+\frac{1}{256}\)
giong bai kia thui
nhung bay gio mk phai off rui
6.30 mk se giai cho nha
chuc bn hoc tot
$$$
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Số thích hợp để điền vào chỗ chấm là:397/384
k mk nhé!thanks
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\(\frac{1}{2}=1-\frac{1}{2}\)
\(\frac{1}{4}=\frac{1}{2}-\frac{1}{4}\)
\(\frac{1}{8}=\frac{1}{4}-\frac{1}{8}\)
\(\frac{1}{16}=\frac{1}{8}-\frac{1}{16}\)\(......\)
Vay B=\(1-\frac{1}{2}+\frac{1}{2}-\frac{1}{4}+\frac{1}{4}-\frac{1}{8}+\frac{1}{8}-\frac{1}{16}+......+\frac{1}{64}-\frac{1}{128}+\frac{1}{128}-\frac{1}{256}\)
\(B=1-\frac{1}{256}\)
\(B=\frac{255}{256}\)
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tính A 1/2+1/4+1/8+...+1/256=a/256
1/2 + 1/4 + 1/8 + 1/16 + 1/32 + 1/64 + 1/128 + 1/256
= 1 – 1/2 + 1/2 - 1/4 + 1/4 – 1/8 + 1/8 – 1/16 + 1/16 – 1/32 + 1/32 – 1/64 + 1/64 – 1/128 + 1/128 – 1/256
= 1 – 1/256
= 255/256
=> a/256 = 255/256
=> a = 255.
Vậy a = 255
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tính nhanh ;
a) (1-1/2)x(1-1/3)x(1-1/4)x....x(1-1/2014)x(1-1/2015)
b) 1/2+1/4+1/8+....+1/256
c) 5/2+5/4+5/8+....+5/256
\(\frac{1}{2}+\frac{1}{4}+\frac{1}{8}+\frac{1}{16}+\frac{1}{32}+\frac{1}{64}+\frac{1}{128}+\frac{1}{256}\)
\(\frac{1}{2}+\frac{1}{4}+\frac{1}{8}+...+\frac{1}{256}\)
=\(1-\frac{1}{2}+\frac{1}{2}-\frac{1}{4}+\frac{1}{4}-\frac{1}{8}+...+\frac{1}{128}-\frac{1}{256}\)
=\(1-\frac{1}{256}\)
=\(\frac{255}{256}\)
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1/2 + 1/4 + 1/8 + 1/16 + 1/32 + 1/64 + 1/128 + 1/256
= 128/256 + 64/256 + 32/256 + 16/256 + 8/256 + 4/256 + 2/128 + 1/256
= 255/256
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Tính : \(\frac{1}{2}+\frac{1}{4}+\frac{1}{8} +...+\frac{1}{256}+\frac{1}{512}\)
Đặt A = 1/2 + 1/4 + 1/8 + .........+ 1/256 + 1/512
A x 2 = ( 1/2 + 1/4 + 1/8 +.........+ 1/256 + 1/512 ) x 2
A x 2 = 1 + 1/2 + 1/4 + ..........+ 1/128 + 1/256
A x 2 - A = 1 + 1/2 + 1/4 + ..........+ 1/128 + 1/256
- 1/2 - 1/4 - 1/8 -...........- 1/256 - 1/512
A = 1 - 1/512
A = 511/512
Vậy giá trị biểu thức là 511/512
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