# Question #a5432

Apr 13, 2017

#### Answer:

We can simply substitute 5 in the expression and do the calculation.

#### Explanation:

The expresión of the general term is:

${a}_{n} = \frac{3}{2 n} \cdot \left(2 n + 5\right)$, so if we substitute $n$ by $5$ we get:

${a}_{5} = \frac{3}{2 \cdot 5} \cdot \left(2 \cdot 5 + 5\right) = \frac{3}{10} \left(10 + 5\right) = \frac{3}{10} \cdot 15 = \frac{3 \cdot 3}{2} = \frac{9}{2}$,

so the answer is D