Calculus Examples

$\sum_{k = 1}^{5} \frac{1}{2 k}$

Step 1

Expand the series for each value of $k$ .

$\frac{1}{2 \cdot 1} + \frac{1}{2 \cdot 2} + \frac{1}{2 \cdot 3} + \dots + \frac{1}{2 \cdot 5}$

Step 2

Simplify the expanded form.

$\frac{137}{120}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{137}{120}$

Decimal Form:

$1.141\overline{6}$

Mixed Number Form:

$1 \frac{17}{120}$