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 isA. 8B. C. D. 16

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

a4 =

a = which is positive.

Third term is ar2 = = 8

So the correct option is A.

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