Question

The nth term of a sequence is 3n2/2

Answer 1

Question:

The nth term of a sequence is
`(3n^2)/(2)` . Find the fifth term of the sequence

Answer:

The 5th term of the sequence is 37.5

Explanation:

Given

`nth\ term = (3n^2)/(2)`

Required

Find the 5th term

To find the 5th term, we simply substitute 5 for n in the above expression.

This gives

`5th\ term = (3 * 5^2)/(2)`

`5th\ term = (3 * 5 * 5)/(2)`

`5th\ term = (75)/(2)`

`5th\ term = 37.5`

Hence, the 5th term of the sequence is 37.5