Calculus Examples

$\sum_{n = 3}^{7} \ln (\frac{n - 2}{n + 1})$

Step 1

Expand the series for each value of $n$ .

$\ln (\frac{3 - 2}{3 + 1}) + \ln (\frac{4 - 2}{4 + 1}) + \ln (\frac{5 - 2}{5 + 1}) + \dots + \ln (\frac{7 - 2}{7 + 1})$

Step 2

Simplify the expanded form.

$\ln (\frac{1}{56})$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\ln (\frac{1}{56})$

Decimal Form:

$- 4.02535169 \dots$