What is the value of (1+ (1/2))(1+ (1/3))(1+ (1/4))........(1+ (1/120))?

Question

What is the value of \(\big(1+\frac12\big)\)\(\big(1+\frac13\big)\)\(\big(1+\frac14\big)\) ..........\(\big(1+\frac1{120}\big)?\)

Answer 1

Given exp. = \(\frac32\times\frac43\times\frac54\times.........\times\frac{120}{119}\times\frac{121}{120}=\frac{121}{2} = 60.5\)