Q. 15.0( 3 Votes )

If the 5th term of a GP is 2, find the product of its first nine terms.

Answer :

Given: 5th term of a GP is 2.


To find: the product of its first nine terms.


First term is denoted by a, the common ratio is denote by r.


ar4 = 2


We have to find the value of: a × ar1 × ar2 × ar3 × … × ar8


= a9r1 + 2 + 3 + 4 + … + 8


= a9r36


= (ar4)9


= (2)9


= 512


Ans:512.


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