Second order arithmetic summation formula I've just been in the first grade of senior high school, and I don't know anything about it. Can you tell me the general formula for the summation of second order arithmetic? Another topic is: known, the general term formula F (n) = 12n ^ 2-12n + 3 Find f (1) + F (2) + F (3) + ＋f（500）.

Second order arithmetic summation formula I've just been in the first grade of senior high school, and I don't know anything about it. Can you tell me the general formula for the summation of second order arithmetic? Another topic is: known, the general term formula F (n) = 12n ^ 2-12n + 3 Find f (1) + F (2) + F (3) + ＋f（500）.

F (n) = 12n ^ 2-12n + 3 = 12 (n-1 / 2) ^ 2, we know that the sum of squares formula is Sn = n (n + 1) (2n + 1) / 6, then the sum of (n-1 / 2) ^ 2 is the sum of (n-1 / 2) (n + 1 / 2) (n + 1) / 3f (1) to f (n) is 12 times the above formula, and finally (2n-1) (2n + 1) (n + 1) takes 500 into the sum of squares. See http: / / www.yywords