Write an equation for the nth term of the geometric sequence 4,−12,36,...

Uriah Molina

Uriah Molina

Answered question

2022-11-05

Write an equation for the nth term of the geometric sequence 4,−12,36,...

Answer & Explanation

Houston Ochoa

Houston Ochoa

Beginner2022-11-06Added 19 answers

T n = a r n - 1 where T n = nth term, a = first term and r = common ratio.
a=4 and r = - 12 4 = - 3 ,
T n = 4 ( - 3 ) n - 1
T n = 4 ( - 3 ) n ( - 3 ) - 1 = 4 ( - 1 3 ) ( - 3 ) n
T n = - 4 3 ( - 3 ) n

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