Calculus Examples

$\sum_{k = 1}^{15} k$

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.

$\frac{15 (15 + 1)}{2}$

Step 3

Simplify.

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Add $15$ and $1$ .

$\frac{15 \cdot 16}{2}$

Multiply $15$ by $16$ .

$\frac{240}{2}$

Divide $240$ by $2$ .

$120$