Calculus Examples

$\sum_{i = 1}^{n} i$

Step 1

The formula for the summation of a polynomial with degree $1$ is:

$\sum_{k = 1}^{n} k = \frac{n (n + 1)}{2}$

Step 2

Substitute the values into the formula and make sure to multiply by the front term.

$\frac{n (n + 1)}{2}$

Step 3

Remove parentheses.

$\frac{n (n + 1)}{2}$