I need a detailed, step by step solution to a discrete math assignment and would like Norman to work it if he is available!!!

Solution 1:
We have to prove that for all ‘m’
=



When m=2 L.H.S=
R.H.S=


=10
Result is true for m=2
Let the result be true for m=k
Then




Now




=(2k+1)[


]
=(2k+1)[


]
=(2k+1)[ ]/3
=(2k+1)(k+1)(2k+3)/3
=(k+1)(2(k+1)-1)(2(k+1)+1)/3
Thus the...