Mathematical Induction

[rd_wingman]

I am having trouble with the following problems

Prove by mathematical induction

1. 1^3+2^3+...+n^3=[(n(n+1))/2]^2 for all integers n >= 1

2. [The Summation of i*2^2 from i=0 to n+1] = n*2^(n+2)+2 for all integers n >= 0

3. (1-1/2^2)*(1-1/3^2)***(1-1/n^2) = (n+1)/(2n) for all integers n >= 2

NOTE: The * is multiplication just incase you cant tell

Please help. I keep getting lost.

 

[stapel]

I keep getting lost.

Please reply showing what you've done so far, so we can "see" where you're getting lost.

Thank you!