In a finite G.P. the product of the terms equidistant from the beginning and the end is always same and equal to the product of first and last term.

Explanation

Let

`a, ar,ar^2,ar^3...ar^(n-1)`
is the G.P. with first term as `a` and common ratio `r`.

Then,

`k` th term from the beginning ` = ar^(k-1)`

Now, `k` th term from the end will be `n-k+1` th term from the beginning.

So, `n-k+1` th term from the beginning `= ar^(n-k+1-1) = ar^(n-k)`

Now, product of `k` th term from the beginning and end `= ar^(k-1)*ar^(n-k)`

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