Find the indicated term of the geometric sequence where a_4=16, r=0.5, n=8

djo57bgfrqn 2022-10-15 Answered
Find the indicated term of the geometric sequence where a 4 = 16 , r=0.5, n=8
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Answers (1)

Rylan White
Answered 2022-10-16 Author has 10 answers
In the given sequence we have:
a 4 = 16 , r = 1 2
This is a geometric sequence, so we can write that:
a n + 1 = a n r
Using this identity we get:
a 5 = a 4 r
a 6 = a 5 r = a 4 r 2
a 7 = a 6 r = a 4 r 3
a 8 = a 7 r = a 4 r 4
If we substiute the given values we get:
a 8 = 16 ( 1 2 ) 4 = 16 1 16 = 1
Answer: The eighth term of this sequence is a 8 = 1
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