1956 AHSME Problem 25

The sum of all numbers of the form 2k + 1, where k takes on integral values from 1 to n is:

\textbf{(A)}\ n^2\qquad\textbf{(B)}\ n(n+1)\qquad\textbf{(C)}\ n(n+2)\qquad\textbf{(D)}\ (n+1)^2\qquad\textbf{(E)}\ (n+1)(n+2)

Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.