Your question and/or notation is/are not clear.
However, ∑k for k=1 to n is n(n+1)/2.
If the summand (k) is multiplied by a constant, the constant simply multiplies the sum.
If the step size is decreased, the easiest way to figure the sum is to do a change of variable.
If this does not help AND you can clarify your question, please comment and I will try to help further.