\(P=1+\frac{1}{2}.\frac{\left(1+2\right).2}{2}+\frac{1}{3}.\frac{\left(3+1\right).3}{2}+...+\frac{1}{2012}.\frac{\left(2012+1\right).2012}{2}\)
\(=1+\frac{\left(1+2\right)}{2}+\frac{\left(1+3\right)}{2}+...+\frac{\left(1+2012\right)}{2}\)
\(=1+\frac{2011}{2}+\frac{\left(2012+2\right).2011}{2}=1+\frac{2011}{2}+2011.1007\)
c\(\frac{\left(1+\frac{2012}{1}\right)\left(1+\frac{2012}{2}\right)....\left(1+\frac{2012}{1000}\right)}{\left(1+\frac{1000}{1}\right)\left(1+\frac{1000}{2}\right)....\left(1+\frac{1000}{2012}\right)}\)
Tính: A= \(\left(1-\frac{1}{1+2}\right)\left(1-\frac{1}{1+2+3}\right)\left(1-\frac{1}{1+2+3+4}\right)...\left(1-\frac{1}{1+2+3+...+2012}\right)\)
Kết qủa của phép tính: \(\left(-2\right).\left(-1\frac{1}{2}\right).\left(-1\frac{1}{3}\right).\left(-1\frac{1}{4}\right)...\left(-1\frac{1}{2012}\right).\left(-1\frac{1}{2013}\right)\)
tính
\(A=\left(1-\frac{1}{1+2}\right)\cdot\left(1-\frac{1}{1+2+3}\right)\cdot\left(1-\frac{1}{1+2+3+4}\right)\cdot...\cdot\left(1-\frac{1}{1+2+3+...+2012}\right)\)
Kết quả phép tính:\(\left(\frac{1}{2}-1\right)\left(\frac{1}{3}-1\right)\left(\frac{1}{4}-1\right)...\left(\frac{1}{2012}-1\right)\left(\frac{1}{2013}-1\right)\)
\(\left(1-\frac{1}{1+2}\right)\left(1-\frac{1}{1+2+3}\right)\left(1-\frac{1}{1+2+3+4}\right).....\left(1-\frac{1}{1+2+3+...+2012}\right)\)
Tính giá trị biểu thức:
\(M=\left(1+\frac{1}{1+2}\right)\left(1+\frac{1}{1+2+3}\right)...\left(1+\frac{1}{1+2+3+...+2012}\right)\)
Tính giá trị biểu thức
\(M=\left(1+\frac{1}{1+2}\right)\left(1+\frac{1}{1+2+3}\right)...\left(1+\frac{1}{1+2+3+...+2012}\right)\)
tính
\(B=\frac{6}{2}:\left(-1\frac{1}{2}\right):1\frac{1}{3}:\left(-1\frac{1}{4}\right):1\frac{1}{5}:\left(-1\frac{1}{6}\right):...:1\frac{1}{2011}:\left(-1\frac{1}{2012}\right)\)
