Các câu hỏi tương tự
Rút gọn P biết P = \(\frac{\frac{1}{2}+\frac{1}{3}+\frac{1}{4}+...+\frac{1}{100}}{\frac{99}{1}+\frac{98}{2}+\frac{97}{3}+...+\frac{1}{99}}\)
bài 1 rút gọn
a)A= \(\frac{1}{3^1}\)+\(\frac{1}{3^2}\)+\(\frac{1}{3^3}\)+.........+\(\frac{1}{3^{99}}\)
b)B=\(\frac{1}{3^1}\)+\(\frac{2}{3^2}\)+\(\frac{3}{3^3}\)+..........+\(\frac{99}{3^{99}}\)
các bạn làm hộ mình nhé
Rút gọna) A frac{1}{2}+frac{1}{2^2}+. . . + frac{1}{2^{99}}b) B frac{1}{2} -- frac{1}{2^2}+frac{1}{2^3}-- frac{1}{2^4}+. . . + frac{1}{2^{99}}+ frac{1}{2^{100}}
Đọc tiếp
Rút gọn
a) A = \(\frac{1}{2}\)+\(\frac{1}{2^2}\)+. . . + \(\frac{1}{2^{99}}\)
b) B =\(\frac{1}{2}\) -- \(\frac{1}{2^2}\)+\(\frac{1}{2^3}\)-- \(\frac{1}{2^4}\)+. . . + \(\frac{1}{2^{99}}\)+ \(\frac{1}{2^{100}}\)
rút gọn :\(\frac{101+100+99+98+.,.+3+2+1}{101-100+99-98+...+3-2+1}\)
\(\frac{\frac{1}{2}+\frac{1}{3}+\frac{1}{4}+................+\frac{1}{2006}}{\frac{2016}{1}+\frac{2016}{2}+...........+\frac{2}{2015}+\frac{1}{2016}}\)
rút gọn nha mọi người
Rút gọn:
\(B=\frac{1}{3}-\frac{1}{3^2}+\frac{1}{3^3}-\frac{1}{3^4}+.....+\frac{1}{3^{99}}\)
Rút gọn phân số
a,\(S=1+\frac{1}{3}+\frac{1}{3^2}+\frac{1}{3^3}+...+\frac{1}{3^n}.\)
b,\(C=\left(\frac{1}{2}+1\right)\left(\frac{1}{3}+1\right)\left(\frac{1}{4}+1\right).....\left(\frac{1}{99}+1\right)\)
c,\(D=\frac{3}{2^2}.\frac{8}{3^2}.\frac{15}{4^2}...\frac{899}{30^2}\)
bài 1:chứng minh rằng:
a,\(\frac{1}{2}-\frac{1}{4}+\frac{1}{8}-\frac{1}{16}+\frac{1}{32}-\frac{1}{64}\)< \(\frac{1}{3}\)
b,\(\frac{1}{3}-\frac{2}{3^2}+\frac{3}{3^3}-\frac{4}{3^4}+...+\frac{99}{3^{99}}-\frac{100}{3^{100}}< \frac{3}{16}\)
Tính Q=\(\frac{\frac{1}{2}+\frac{1}{3}+\frac{1}{4}+....+\frac{1}{100}}{\frac{100-1}{1}+\frac{102-2}{2}+...+\frac{100-99}{99}}\)