As in the proof of the binomial theorem, transform the summation ∑ k = 0 n ( m k ) a m − k b k + 1 by making the change of variable j = k + 1 .
To transform the summation
∑k=0n( m k )×am−k×bk+1
By making the change of variable j=k+1.
Given information:
Formula used:
Binomial theorem:
Given any real number a and b and any non-negative integer n.
(a+b) n = ∑ k=0 n ( n k ) a n−k b k =an+( n 1 )an−1b+( n 2 )an−2b2+
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