Question

[Mai Thi Cam Nhung]

Rút gọn biểu thức sau: T=(\(\frac{1}{2}\)+1)×(\(\frac{1}{3}\)+1)×(\(\frac{1}{4}\)+1)×……………×(\(\frac{1}{98}\)+1)×(\(\frac{1}{99}\)+1)

Answer 1

[Hoàng Ninh]

\(T=\left(\frac{1}{2}+1\right).\left(\frac{1}{3}+1\right).\left(\frac{1}{4}+1\right).......\left(\frac{1}{98}+1\right).\left(\frac{1}{99}+1\right)\)

\(T=\left(\frac{1}{2}+\frac{2}{2}\right).\left(\frac{1}{3}+\frac{3}{3}\right).\left(\frac{1}{4}+\frac{4}{4}\right).....\left(\frac{1}{98}+\frac{98}{98}\right).\left(\frac{1}{99}+\frac{99}{99}\right)\)

\(T=\frac{3}{2}.\frac{4}{3}.\frac{5}{4}.....\frac{99}{98}.\frac{100}{99}\)

\(T=\frac{3.4.5....99.100}{2.3.4.....98.99}\)

\(T=\frac{100}{2}\)

\(T=50\)

Vậy T = 50

Chúc bạn học tốt!

Answer 2

[le dinh khuong]

dua tao chich roi tao tra loi