Question

A sequence is generated in which each term is

equal to the product of the 2 preceding terms. If
the first 2 terms are 1 and 3, what is the fifth
term?​

Answer 1

The fifth term is 27

Explanation:

Given:

`T_1 = 1`

`T_2 = 3`

Required

What is the fifth term?

Using the condition stated in the question;

`T_5 = T_4 * T_3`

The values of
`T_4\ and\ T_3` are not known; so, we need to solve for both of them

`T_3 = T_2 * T_1`

Substitute
`T_1 = 1` and
`T_2 = 3`

`T_3 = 1 * 3`

`T_3 = 3`

`T_4 = T_2 * T_3`

Substitute
`T_2 = 3` and
`T_3 = 3`

`T_4 = 3 * 3`

`T_4 = 9`

Recall that

`T_5 = T_4 * T_3`

`T_5 =9* 3`

`T_5 = 27`

Hence, the fifth term is 27