Question

(1 + 1/100 ) * (1 +1/99) * ( 1 + 1/98 ) ..... (1 + 1/2) = ?

Answer 1

\(=\frac{101}{100}\times\frac{100}{99}\times\frac{99}{98}\times...\times\frac{3}{2}=\frac{101\times\left(100\times99\times...\times3\right)}{\left(100\times99\times98\times...\times3\right)\times2}=\frac{101}{2}\)

Answer 2

=\(\frac{101}{100}\)*\(\frac{100}{99}\)*\(\frac{99}{98}\)*.........*\(\frac{3}{2}\)

=\(\frac{101}{2}\)