Find the 9th term of the geometric sequence where a1 = -7 and a6 = -7,168

dannigurl21ck2

dannigurl21ck2

Answered question

2022-11-20

Find the 9th term of the geometric sequence where a1 = -7 and a6 = -7,168

Answer & Explanation

iletsa2ym

iletsa2ym

Beginner2022-11-21Added 22 answers

The general term of a geometric sequence can be written:
a n = a r n - 1
where a is the initial term and r is the common ratio.
We are given:
a = a 1 = - 7
a r 5 = a 6 = - 7168
So r = - 7168 - 7 5 = 1024 5 = 4 5 5 = 4
(assuming we are dealing with a Real geometric sequence)
Then a 9 = a r 8 = - 7 4 8 = - 7 65536 = - 458752

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