Question

(1+1/2)x(1+1/3)x(1+1/4)x...x(1+1/2013)

hi

Answer 1

=3/2x4/3x5/4x...x2014/2013=2014/2=1007

Answer 2

\(\left(1+\frac{1}{2}\right)\left(1+\frac{1}{3}\right)\left(1+\frac{1}{4}\right)...\left(1+\frac{1}{2013}\right)\)

\(=\frac{3}{2}.\frac{4}{3}.\frac{5}{4}...\frac{2014}{2013}\)

\(=\frac{3.4.5...2014}{2.3.4...2013}\)

\(=\frac{2014}{2}\)

\(=2007\)