Answer:
D. 9 ÷ 2
Step-by-step explanation:
For getting the nth value of the sequence we simply put the value of n in a formula.
In the given sequence for finding the 5th term we simply put n = 5 in given explicit formula:
We have [tex]a_{n} = \frac{3}{2n}(2n+5)[/tex]
Putting n = 5
[tex]a_{5} = \frac{3}{2\times5}(2\times5+5)[/tex]
⇒ [tex]a_{5} = \frac{3}{10}(15)[/tex]
⇒ [tex]a_{5} = \frac{9}{2}[/tex]
Thus, option (D) is correct.
