\(A=\left(1+\frac{1}{2}\right)x\left(1+\frac{1}{3}\right)x\left(1+\frac{1}{4}\right)x...x\left(1+\frac{1}{100}\right)\)
\(A=\frac{3}{2}x\frac{4}{3}x\frac{5}{4}x...x\frac{101}{100}\)
\(A=\frac{101}{2}\)
A = \(\frac{3}{2}.\frac{4}{3}.\frac{5}{4}.....\frac{101}{100}\)
A = \(\frac{101}{2}\)
\(A=\left(1+\frac{1}{2}\right).\left(1+\frac{1}{3}\right).....\left(1+\frac{1}{100}\right)\)
\(A=\frac{3}{2}.\frac{4}{3}.........\frac{101}{100}\)
\(A=\frac{101}{2}\)