\(A=\dfrac{3}{2}\times\dfrac{4}{3}\times\dfrac{5}{4}\times\dfrac{4}{5}\times\dfrac{5}{6}\)
\(A=\dfrac{7}{2}\)
\(A=\dfrac{3}{2}\times\dfrac{4}{3}\times\dfrac{5}{4}\times\dfrac{6}{5}\times\dfrac{7}{6}\\ A=\dfrac{7}{2}\)
a=(1+1/2) x ( 1+1/3) x (1+1/4) x (1+1/5) x (1+1/6)
\(A=\left(\dfrac{2}{2}+\dfrac{1}{2}\right)\times\left(\dfrac{3}{3}+\dfrac{1}{3}\right)\times\left(\dfrac{4}{4}+\dfrac{1}{4}\right)\times\left(\dfrac{5}{5}+\dfrac{1}{5}\right)\times\left(\dfrac{6}{6}+\dfrac{1}{6}\right)\)
\(A=\dfrac{3}{2}\times\dfrac{4}{3}\times\dfrac{5}{4}\times\dfrac{7}{5}=\dfrac{7}{2}\)
a = (1+1/2) x ( 1+1/3) x (1+1/4) x (1+1/5) x (1+1/6)
a = 3/2 x 4/3 x 5/4 x 6/5 x 7/6
a = 2 x 3/2 x 7/6
a = 3 x 7/6
a = 7/2