Precalculus Examples

$\sum_{k = 3}^{7} \frac{k + 1}{k}$

Step 1

Expand the series for each value of $k$ .

$\frac{3 + 1}{3} + \frac{4 + 1}{4} + \frac{5 + 1}{5} + \dots + \frac{7 + 1}{7}$

Step 2

Simplify the expanded form.

$\frac{853}{140}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{853}{140}$

Decimal Form:

$6.09285714 \dots$

Mixed Number Form:

$6 \frac{13}{140}$