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

Answer:

The fifth term is 27

Step-by-step 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