Question

Simplify: 1 1/2*1 1/3*1 1/4*1 1/5*1 1/6*...*1 1/n

Answer 1

0.5(n+1)

Explanation:

(1 + 1/2)(1 + 1/3)(1+ 1/4)...(1 + 1/n)

= (3/2)(4/3)(5/4)...[(n+1)/n]

= 0.5(n+1).

Answer 2

Explanation:

(1 + 1/2)(1 + 1/3)(1+ 1/4)...(1 + 1/n)

= (3/2)(4/3)(5/4)...[(n+1)/n]

= 0.5(n+1).