Calculus Examples

$\sum_{n = 10}^{15} n + \frac{3}{n}$

Step 1

Expand the series for each value of $n$ .

$10 + \frac{3}{10} + 11 + \frac{3}{11} + 12 + \frac{3}{12} + \dots + 15 + \frac{3}{15}$

Step 2

Simplify the expanded form.

$\frac{306177}{4004}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{306177}{4004}$

Decimal Form:

$76.46778221 \dots$

Mixed Number Form:

$76 \frac{1873}{4004}$