Các câu hỏi tương tự
Tính M , biết :
\(M=1+\frac{1}{2}\times\left(1+2\right)+\frac{1}{3}\times\left(1+2+3\right)+\frac{1}{4}\times\left(1+2+3+4\right)+...+\frac{1}{2016}\times\left(1+2+3+4+...+2015+2016\right).\)
Tính : \(\left(1-\frac{1}{4}\right)\times\left(1-\frac{1}{9}\right)\times\left(1-\frac{1}{16}\right)\times...\times\left(1-\frac{1}{576}\right)\times\left(1-\frac{1}{624}\right)\)
\(T=\left(1-\frac{1}{4}\right)\times\left(1-\frac{1}{9}\right)\times\left(1-\frac{1}{16}\right)\times....\times\left(1-\frac{1}{576}\right)\times\left(1-\frac{1}{625}\right)\)
1.Tính nhanha,frac{1}{1times4}+frac{1}{4times7}+............+frac{1}{97times100}b,frac{1}{2}timesfrac{2}{3}timesfrac{3}{4}times...........timesfrac{99}{100}c,frac{3}{4}timesfrac{8}{9}timesfrac{15}{16}times...........timesfrac{99}{100}d,left(frac{1}{2}+1right)timesleft(frac{1}{3}+1right)timesleft(frac{1}{4}+1right)times............timesleft(frac{1}{99}+1right)e,left(1-frac{1}{2}right)timesleft(1-frac{1}{3}right)timesleft(1-frac{1}{4}right)times..........timesleft(1-frac{1}{100}right)
Đọc tiếp
1.Tính nhanh
a,\(\frac{1}{1\times4}+\frac{1}{4\times7}+............+\frac{1}{97\times100}\)
b,\(\frac{1}{2}\times\frac{2}{3}\times\frac{3}{4}\times...........\times\frac{99}{100}\)
c,\(\frac{3}{4}\times\frac{8}{9}\times\frac{15}{16}\times...........\times\frac{99}{100}\)
d,\(\left(\frac{1}{2}+1\right)\times\left(\frac{1}{3}+1\right)\times\left(\frac{1}{4}+1\right)\times............\times\left(\frac{1}{99}+1\right)\)
e,\(\left(1-\frac{1}{2}\right)\times\left(1-\frac{1}{3}\right)\times\left(1-\frac{1}{4}\right)\times..........\times\left(1-\frac{1}{100}\right)\)
: \(T=\left(1-\frac{1}{4}\right)\times\left(1-\frac{1}{9}\right)\times\left(1-\frac{1}{16}\right)\times....\times\left(1-\frac{1}{576}\right)\times\left(1-\frac{1}{625}\right)\)
Tính nhanh:
\(\left(1-\frac{1}{2}\right)\times\left(1-\frac{1}{3}\right)\times\left(1-\frac{1}{4}\right)\times\left(1-\frac{1}{5}\right)\times.......\times\left(1-\frac{1}{2003}\right)\times\left(1-\frac{1}{2004}\right)\)
Tính nhanh
\(\left(1-\frac{1}{2}\right)\times\left(1-\frac{1}{3}\right)\times\left(1-\frac{1}{4}\right)\times......\times\left(1-\frac{1}{2003}\right)\times\left(1-\frac{1}{2004}\right)\)
Giúp mk với
B = \(\left(1-\frac{1}{2}\right)\times\left(1-\frac{1}{3}\right)\times\left(1-\frac{1}{4}\right)\times\left(1-\frac{1}{5}\right)\times...\times\left(1-\frac{1}{2004}\right)\)=?
tính :\(\left(1+\frac{1}{2}\right)\times\left(1+\frac{1}{3}\right)\times\left(1+\frac{1}{4}\right)\times_{......}\times\left(1+\frac{1}{98}\right)\times\left(1+\frac{1}{99}\right)\)