Calculus Examples

$\sum_{k = 1}^{17} k$

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

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

Substitute the values into the formula.

$\frac{17 (17 + 1)}{2}$

Simplify.

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Add $17$ and $1$ .

$\frac{17 \cdot 18}{2}$

Multiply $17$ by $18$ .

$\frac{306}{2}$

Divide $306$ by $2$ .

$153$