• + 2 comments

    But! If than answer isn't sufficient for you... proof by induction.

    S_1 = 1 = 1^2
    S_n = n^2
    S_n+1 = n^2 + (n + 1)^2 - (n + 1 - 1)^2 = (n + 1)^2 - (n^2 - n^2)
    S_n+1 = (n + 1)^2