SOLUTION: first 3 terms of an infinite geometric sequence 16,8,4. Q1.Determine the nth term of the sequence.

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Question 918867: first 3 terms of an infinite geometric sequence 16,8,4. Q1.Determine the nth term of the sequence.
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
let's r be the common ratio
16,8,4
since 8%2F16+=+4%2F8+=+1%2F2 the common ratio r=1%2F2

nth term is
highlight%28a%5B1%5Dr%5E%28n+-+1%29%29...where a is first term and r is ratio

since first term a%5B1%5D=16 and r=1%2F2
a%5B1%5Dr%5E%28n+-+1%29=highlight%2816%281%2F2%29%5E%28n-1%29%29