Discover the answers you need at Westonci.ca, a dynamic Q&A platform where knowledge is shared freely by a community of experts. Experience the convenience of getting reliable answers to your questions from a vast network of knowledgeable experts. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.

Use mathematical induction to prove the following:
a) ∑i=1ni(i+1)=3n(n+1)(n+2)/3
b) ∑(i=0)n 2i=2n+1)-1