Write a rule for the nth term of the geometric sequence given the two terms a_2=4, a_5=256/27

link223mh 2022-10-14 Answered
Write a rule for the nth term of the geometric sequence given the two terms a 2 = 4 , a 5 = 256 27
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Answers (1)

Remington Wells
Answered 2022-10-15 Author has 13 answers
The geometric n th term is a n = a r n - 1
Where a is the first term
a r = 4
a r 4 = 256 27
a = 4 r
4 r r 4 = 256 27
4 r 3 = 256 27
r = 4 3
a = 4 r = 4 4 3 = 3
a n = 3 ( 4 3 ) n - 1
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