SOLUTION: Please help me solve this : Determine the product of first three terms of a geometric progression if b2=6 Thanks.

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Question 1035460: Please help me solve this :
Determine the product of first three terms of a geometric progression if b2=6
Thanks.

Found 2 solutions by Alan3354, ikleyn:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Determine the product of first three terms of a geometric progression if b2=6
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Not enough info.
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Might be 1, 6, 36
Or 2, 6, 18
Or 3, 6, 12
or others.

Answer by ikleyn(52798) About Me  (Show Source):
You can put this solution on YOUR website!
.
Please help me solve this :
Determine the product of first three terms of a geometric progression if b2=6
Thanks.
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Let the first term be b%5B1%5D.


Then the second term b%5B2%5D = r%2Ab%5B1%5D and the third tem b%5B3%5D = r%2Ab%5B2%5D,  where  and re-group:


b%5B1%5D%2Ab%5B2%5D%2Ab%5B3%5D = b%5B1%5D.r%2Ab%5B1%5D.r%5E2%2Ab%5B1%5D = r%5E3%2Ab%5B1%5D%5E3 = %28r%2Ab%5B1%5D%29%5E3 = b%5B2%5D%5E3 = 6%5E3 = 216.