The first term in a geometric sequence is 54, and the 5th term is 2 / 3. find an explicit form for the geometric sequence.

Step-by-step explanation:

The nth term for a geometric sequence is given by :-

   (1)

We are given that The first term in a geometric sequence is 54. i.e. a=54

5th term=   (2)

Put n=5 and a= 54 in (1), we get

    (3)

From (2) and (3), we have

Explicit form for the geometric sequence:

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step-by-step explanation:

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step-by-step explanation: