Q. 155.0( 1 Vote )
If the product of the first four consecutive terms of a G.P is 256 and if the common ratio is 4 and the first term is positive, then its 3rd term is
Given the product of first four consecutive terms of GP = 256.
Let the first four terms be a, ar, ar2, ar3
Product = 256 = axarxar2xar3 = a4r6
Also given r = 4,
We have 256 = a4 × (4)6
a = which is positive.
Third term is ar2 = = 8
So the correct option is A.
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