By choosing appropriate values for

a, b, and t in the binomial expansions of Propositions 2.9 and 2.10, calculate the following sums (n here is a nonnegative integer):

Transcribed Image Text:

n () 3*-*; k=0 n+. - (ii) (+1) k=0 k (iii) - (+1) (n+k-1 k=0 k 2+k k=0 (iv) n (n+k-1). n1.