Sum Calculator

Sum of Series Calculator (∑k)

Choose Series (K = ∑k): k k² k³ 2k - 1 (Odd) k(k + 1) 1 / k(k + 1) k(k + 1)(k + 2) 1 / k(k + 1)(k + 2) Number of Terms (n):

Result (∑):

Series Logic Covered:

1. ∑k = n(n+1)/2

2. ∑k² = n(n+1)(2n+1)/6

3. ∑k³ = [n(n+1)/2]²

4. ∑(2k−1) = n²

5. ∑k(k+1) = n(n+1)(n+2)/3

6. ∑1/k(k+1) = n/(n+1)

7. ∑k(k+1)(k+2) = n(n+1)(n+2)(n+3)/4

8. ∑1/k(k+1)(k+2) = [n(n+3)] / [4(n+1)(n+2)]