Write a rule for the nth term of the geometric term and then find a_6 given r=1/10,a_2=4

Kayley Dickson

Kayley Dickson

Answered question

2022-11-04

Write a rule for the nth term of the geometric term and then find a 6 given r = 1 10 , a 2 = 4

Answer & Explanation

Zackary Hatfield

Zackary Hatfield

Beginner2022-11-05Added 14 answers

In a GP, each term is multiplied by the common ratio to get the next term in the sequence.
We do not have the first term, a, but we can find it from T 2
T 2 = 4 = a × 1 10
a = 4 × 10 = 40
T n = a r n - 1
T n = 40 ( 1 10 ) n - 1
T 6 = 40 ( 1 10 ) 5
T - 6 = 40 × 1 10 5
T 6 = 1 2500 = 0.0004

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