Find the nth term rule for 12,4,4/3,4/9,...

Taniya Melton

Taniya Melton

Answered question

2022-10-18

Find the nth term rule for 12 , 4 , 4 3 , 4 9 , ...

Answer & Explanation

Kyle Delacruz

Kyle Delacruz

Beginner2022-10-19Added 21 answers

This is a GP which first term , a, of 12 and the common ratio ,r,of 3.
The common ratio is found from dividing any two consecutive terms..
r = T 2 T 1 = 4 12 = 1 3
The general term for any GP is T n = - a r n - 1
Substituting the values for a and r we get..
T n = 12 × ( 1 3 ) n - 1

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