Mathematics Weekly Seventh Grade Edition Antlers No.42 Answer
1 * 2+2 * 3+3 * 4+……+n(n+ 1)=( 1^2+ 1)+(2^2+2)+(3^2+3)+……+(n^2+n)=( 1^2+2^2+3^2+……+n^2)+( 1+2+3+……+n) =[n(n+ 1)(2n+ 1)]/6+[n(n+ 1)]/2 =[n(n+ 1)(5n+2)]/6 1 * 2+2 * 3+3 * 4+ 100 *2+...+N2 = n(n+ 1)(2n+ / Kloc-0/)/61+2+3+n = n (n+1)/2 where n = 65438. 1*2+2*3+3*4+ 100* 10 1= 100* 10 1*20 1/6+ 100* 10 1/2=343400