If the first and the n^("th") term of a...

If the first and the `n^("th")` term of a G.P. are a and b, respectively, and if P is the product of n terms, prove that `P^2 = (ab)^n`.

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NCERT BANGLISH-SEQUENCES AND SERIES-EXERCISE 9.3

How many terms of G.P. 3, 3^2, 3^3, … are needed to give the sum 120?
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