k=1 Find the following sums using the standard results for k=1 k, Ek=1 k2 and Σ–, k3. (a) 2%=1(k2 + 1)(k - 3) (b) The su

[answerhappygod]

1 (46.61 KiB) Viewed 17 times

k=1 Find the following sums using the standard results for k=1 k, Ek=1 k2 and Σ–, k3. (a) 2%=1(k2 + 1)(k - 3) (b) The sum of the first 2n squares, ie find the sum 12 + 22 + 32 + ... + (2n – 1)2+(2n) (C) The sum of the first n even squares (d) The sum of the first n odd squares (e) {k=1(-1)*+1 k3 if n is an even number. (f) The sum of all the squares greater than 500 and smaller than 2000 (the sum of all the square numbers k for which 500 Sk < 2000) (g) The sum of all cubes greater than 1000 and smaller than 5000 which are divisible by 3