sum _(i=1)^10000i=1+2+3+ldots +10000 50005000 50500000 50050005 50005005 infty

## Step 1: Identify the Upper Limit of Summation### The given series is . The upper limit of summation is 10000. Since the upper limit is a finite number, the series is finite.## Step 2: Calculate the Sum### This is an arithmetic series with , , and . The sum of an arithmetic series is given by . Substituting the values, we get .