Question 25078
Find the product of the first 99 terms of:
{{{(1/2)(2/3)(3/4)(4/5)}}}...{{{(97/98)(98/99)(99/100)}}}

Notice that 2nd numerator will cancel the 1s denominator, the 3rd numerator will cancel the 2nd denominator, and so on.
Continue to do this to the last fraction and you will end up with: {{{1/100}}}