Question

1/1X3 + 1/3X5 + 1/5X7 + .+ 1/99X101

Answer 1

1/1X3 + 1/3X5 + 1/5X7 + .+ 1/99X101

=(1/2)[(1-1/3)+(1/3-1/5)+(1/5-1/7)+...+(1/99-1/101)]

=(1/2)(1-1/101)

=(1/2)(100/101)

=50/101