Hi, not sure if this is advanced enough for this sub forum or not. But alas I have a problem, that problem is 'the maths of induction'. I've looked through books and the net, there doesn't seem to be:

A) Many learning resources on this

B) Any resource that explains this in a way I can understand

My lecturer has not seen fit to spend much time on it either. So here are my (3) problems:

Prove by mathematical induction that

1+2+3+…..+n = ½n(n+1)

For all integers n >= 1

Prove by mathematical induction that

1+3+5+ ….+ (2n-1) = n2

For all integers n >= 1

Prove by mathematical induction that

12+22+……+n2 = 1/6n(n+1)(2n+1)

For all integers n >= 1

Any help (answers and/or explanations) from the wise people of this forum, will be very welcome.