proof by induction; you follow the three steps ive got that much but i dont know how to do it when the numbers are squared.

for example...

1squared + 2squared + 3 squared + ........... + nsquared = 1/6 (n+1)(2n+1)

i can complete the first step (prove its true for 1)

1/6 (1+1)(2+1) = 1/6 x 2 x 3

= 1

1squared = 1

step 2 is to assume that it is true for n=k i think i am getting lost on this step.

i have reached

1/6k (k+1)(2k+1) = m (i think that part is right)

however step three is to prove it is true for n=k+1

this is completely loosing me and it is due tomorrow im totally lost

please help me its sooo urgent.

p.s i dont want the answer just some help if that is possible, im more interested in how the answer is recieved then the actual answer that it gives.

thanks in advance