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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?​

1 Answer

3 votes

Answer:

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

User Dronik
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