tính D =\(\dfrac{100-\left(1+\dfrac{1}{2}+\dfrac{1}{3}+...+\dfrac{1}{100}\right)}{\dfrac{1}{2}+\dfrac{2}{3}+\dfrac{3}{4}+-+\dfrac{99}{100}}\)
Ta có :
\(D=\dfrac{100-\left(1+\dfrac{1}{2}+\dfrac{1}{3}+-+\dfrac{1}{100}\right)}{\dfrac{1}{2}+\dfrac{2}{3}+-...+\dfrac{99}{100}}\)
\(\Leftrightarrow D=\dfrac{100-1-\dfrac{1}{2}-\dfrac{1}{3}--..-\dfrac{1}{100}}{\dfrac{1}{2}+\dfrac{2}{3}+-.+\dfrac{99}{100}}\)
\(\Leftrightarrow D=\dfrac{99-\dfrac{1}{2}-\dfrac{1}{3}--..-\dfrac{1}{100}}{\dfrac{1}{2}+\dfrac{2}{3}+-+\dfrac{99}{100}}\)
\(\Leftrightarrow D=\dfrac{\left(1-\dfrac{1}{2}\right)+\left(1-\dfrac{1}{3}\right)+-.+\left(1-\dfrac{1}{100}\right)}{\dfrac{1}{2}+\dfrac{2}{3}+-...+\dfrac{99}{100}}\)
\(\Leftrightarrow D=\dfrac{\dfrac{1}{2}+\dfrac{2}{3}+--+\dfrac{99}{100}}{\dfrac{1}{2}+\dfrac{2}{3}+-..+\dfrac{99}{100}}=1\)
Tính B = \(\dfrac{1+2+2^2+2^3+-+2^{2008}}{1-2^{2009}}\)
Tìm x
a) \(\dfrac{1}{2}\)x + \(\dfrac{1}{8}\)x = \(\dfrac{3}{4}\)
b) ( 2x -4,5 ) : \(\dfrac{3}{4}\) - \(\dfrac{1}{3}\) = 1
1 5/6 .80 % + 4/5+-5/6
bài 1
a,3636:(12:x-9)=36
b,(x:23+45).67=8911
c,[(61-3:x.x)+21].17=578
Bài 2
a,S=2+4+...+2004
b,S=3+7+11+15+...+(4.k+3) với KEN,K>3
Cho A=3n+5/n-1+2n+4/n-1 để A có giá trị lớn nhất
11-(-53+x)=97
cho mk hoi ti nhe .
tinh nhanh;98 nhan 101
cap toc,mk can gap
so sánh
a, -21/35 vs -19/30
b. 2^91 & 5^35
c, 5^22 & 2^55
c, -13/38 & 29/-88
d, 267/-268 & -1347/1343
So sánh M = \(\dfrac{1}{1.2}\)+\(\dfrac{1}{2.3}\)+-...+\(\dfrac{1}{49.50}\) với 1
tìm x , biết: a)x.(3-x)=0 ; b)(3-x) mũ 2 = 4 ; c) x.(3-x)>0
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