(k+1)4 =k4 +4k3 +6k2+4k +1
What can you say about each term in the prior line and 10k ?
Thank you so much. This is just what I neededHello, and welcome to FMH!
Having presumably shown the base case is true, let's state the induction hypothesis \(P_k\):
Now, for the induction step, I would look at:
By our hypothesis, we must have that:
So, can we show that:
If we can demonstrate this to be true, then we can add to following to our induction hypothesis: