Question

[sakủa]

So sánh A và B

A= 1.2.3.4.5.......100 và B= \(\frac{51}{2}.\frac{52}{2}.\frac{53}{2}........\frac{100}{2}\)

Answer 1

[Lưu Tuấn Hưng]

yêu anh ko

Answer 2

[Nguyễn Thị Kim Anh]

Ta có \(B=\frac{51}{2}.\frac{52}{2}.\frac{53}{2}.....\frac{100}{2}\)

       \(B=\frac{51.52.53.....100}{2^{50}}\)

     \(B=\frac{1.2.3.4.5.....50.51.52.53.....100}{2^{50}.1.2.3.4.5.....50}\)

    \(B=\frac{\left(1.3.5.....99\right).\left(2.4.6.....100\right)}{\left(2.1\right).\left(2.2\right).\left(2.3\right).....\left(2.50\right)}\)

\(B=\frac{\left(1.3.5.....99\right).\left(2.4.6.....100\right)}{2.4.6.....100}\)

\(B=1.3.5.....99< A\)

\(\Rightarrow B< A\)

VậyB<A