Assume that you have $\delta$ is a positive number. Real numbers $b\ge a$, and $b-a=K\delta$, K is a natural number.
I know we can write $\sum\limits_{i=0}^K f(a+i\delta)$, for $f(a)+f(a+\delta)+\ldots f(b)$.
But is there another way to do this so we do not have to know the number $K$? Is there a standard way to write $\sum\limits_{t=a}^bf(t)$. But where we increase by $\delta$ not $1$?