SOLUTION: Hi, could someone please help me with this problem? For a given geometric sequence, all of whose terms are positive real numbers, a_1=2/3 and a_5=1/24. Find a_6.

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Question 986777: Hi, could someone please help me with this problem?
For a given geometric sequence, all of whose terms are positive real numbers,
a_1=2/3 and a_5=1/24. Find a_6.

Answer by ikleyn(52909)   (Show Source): You can put this solution on YOUR website!
.
For a given geometric sequence,  whose terms all are positive real numbers,
=  and   = .  Find .
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= = : = = .

Hence,   = =       (Notice that negative q does't fit, because all terms should be positive).

It implies that   = . = . = .

Answer.   = .


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