It is known that the cubic power of 1 = the square of 1 / 4 * 1 * 2; the cubic power of 1 + the cubic power of 2 = the square of 9 = the square of 1 / 4 * 2 * 3; The third power of 1 + the third power of 2 + the third power of 3 = 36 = the square of 1 / 4 * 3 * 4; the third power of 1 + the third power of 2 + the third power of 3 + the third power of 4 = 100 = the square of 1 / 4 * 4 * 5 (1) Please guess and fill in the blanks: the third power of 1 + the third power of 2 + the third power of 3 + +The third power of (n-1) + the third power of n= (2) Try to calculate: 1 to the third power + 2 to the third power + 3 to the third power + +The third power of 99 + the third power of 100

It is known that the cubic power of 1 = the square of 1 / 4 * 1 * 2; the cubic power of 1 + the cubic power of 2 = the square of 9 = the square of 1 / 4 * 2 * 3; The third power of 1 + the third power of 2 + the third power of 3 = 36 = the square of 1 / 4 * 3 * 4; the third power of 1 + the third power of 2 + the third power of 3 + the third power of 4 = 100 = the square of 1 / 4 * 4 * 5 (1) Please guess and fill in the blanks: the third power of 1 + the third power of 2 + the third power of 3 + +The third power of (n-1) + the third power of n= (2) Try to calculate: 1 to the third power + 2 to the third power + 3 to the third power + +The third power of 99 + the third power of 100

(1) The third power of 1 + the third power of 2 + the third power of 3 + +The third power of (n-1) + the third power of n = 1 / 4 * n & # 178; (n + 1) &# 178;
(2) The third power of 1 + the third power of 2 + the third power of 3 + +The third power of 99 + the third power of 100
=1/4*100²*101²
=25502500