Asked by Ebube
                The second and fifth terms of a geometric progression (GP) are 1 and 1 respectively.find (a) common ratio     
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8
Answers
                    Answered by
            Reiny
            
    Use your definitions
2nd term : ar = 1
5th term : ar^4 = 1
divide:
r^3 = 1
r = 1
the ar = 1
a(1) = 1
a = 1
your GP is 1,1,1,....
(not a very exciting sequence, some authors would exclude r = 1 in a GP)
    
2nd term : ar = 1
5th term : ar^4 = 1
divide:
r^3 = 1
r = 1
the ar = 1
a(1) = 1
a = 1
your GP is 1,1,1,....
(not a very exciting sequence, some authors would exclude r = 1 in a GP)
                    Answered by
            Steve
            
    I think that the attempt at including a fraction has bungled the posting. I read it as
The second and fifth terms of a geometric progression (GP) are 1 and 1/8 respectively. Find (a) common ratio
T5/T2 = r^3 = 1/8
so,
r = 1/2
    
The second and fifth terms of a geometric progression (GP) are 1 and 1/8 respectively. Find (a) common ratio
T5/T2 = r^3 = 1/8
so,
r = 1/2
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