is n a constant bounding in a summation

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I have to calculate a right riemann sum in terms of n. The formula for a right riemann sum is $\sum_{k=1}^n f(a+k\Delta x)*\Delta x $ so in terms of n on a bounded interval of [0,3] is $\frac{3}{n}$ so i rewrote the formula as $\Delta x *\sum_{k=1}^n f(a+k\Delta x)$ because n as an upper limit has to be a constant, Even as the limit of n approaches infinity n itself will be just be a very large integer. is this justification accurate?