# How do you find the sum given Sigma 1/j from j=3 to 5?

Nov 13, 2016

#### Answer:

${\sum}_{j = 3}^{5} \frac{1}{j} = \frac{47}{30}$

#### Explanation:

There are only a couple of terms, so let us just write out the sum in full as follows:

${\sum}_{j = 3}^{5} \frac{1}{j} = \frac{1}{3} + \frac{1}{4} + \frac{1}{5}$
$\therefore {\sum}_{j = 3}^{5} \frac{1}{j} = \frac{20 + 15 + 12}{60}$
$\therefore {\sum}_{j = 3}^{5} \frac{1}{j} = \frac{47}{30}$