Question

Calculate the 5th term of the sequence which has this explicit formula: an=3/2n(2n+5), n=1,2,...

Answer 1

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 $a_{n} = \frac{3}{2n}(2n+5)$

Putting n = 5

$a_{5} = \frac{3}{2\times5}(2\times5+5)$

⇒ $a_{5} = \frac{3}{10}(15)$

⇒ $a_{5} = \frac{9}{2}$

Thus, option (D) is correct.