Question
Observe that :
1/1*3= 1/3
1/1*3+ 1/3*5= 2/5
1/1*3+ 1/3*5+ 1/5*7= 3/7
1/1*3+ 1/3*5+ 1/5*7+ 1/7*9= 4/9
Come up with a formula s(n) for the above, for n is greater than or equal to 1. Prove it by mathematical induction
1/1*3= 1/3
1/1*3+ 1/3*5= 2/5
1/1*3+ 1/3*5+ 1/5*7= 3/7
1/1*3+ 1/3*5+ 1/5*7+ 1/7*9= 4/9
Come up with a formula s(n) for the above, for n is greater than or equal to 1. Prove it by mathematical induction