Question

The coefficients corresponding to k = 0, 1, 2, ..., 5 in the expansion of (x + y)^5 are _____.

A. 1, 5, 10, 10, 5, 1
B. 1, 5, 10, 5, 1
C. 0, 1, 5, 10, 5, 1, 0
D. 0, 5, 10, 10, 5, 0

Answer 1

Just use the binomial theorem.
A. 1, 5, 10, 10, 5, 1

Answer 2

The coefficients corresponding to k = 0, 1, 2, ..., 5 in the expansion of (x + y)^5 are 1, 5, 10, 10, 5, 1.