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Question:

The sum of the 3rd and the 4th terms of a G.P. is 60 and the product of its first three terms is 1000. If the first term of this G.P. is positive, then its 7th term is:

2430

320

7290

640

Solution:

Let the first three terms of GP bear,a,arGiven, product=1000⇒a3=1000⇒a=10