Calculus Examples

$\sum_{6}^{17} \frac{n - 8}{n + 5}$

Step 1

Expand the series for each value of $n$ .

$\frac{6}{6 + 5} - \frac{8}{6 + 5} + \frac{7}{7 + 5} - \frac{8}{7 + 5} + \frac{8}{8 + 5} - \frac{8}{8 + 5} + \dots + \frac{17}{17 + 5} - \frac{8}{17 + 5}$

Step 2

Simplify the expanded form.

$\frac{37533593}{17907120}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{37533593}{17907120}$

Decimal Form:

$2.09601504 \dots$

Mixed Number Form:

$2 \frac{1719353}{17907120}$