Which of the following sequeces in GP will have common ratio 3, where n is an Integer?(a) gn = 2n^2 + 3n(b) gn = 2n^2 + 3(c) gn = 3n^2 + 3n(d) gn = 6(3^n-1)I had been asked this question in an online quiz.This interesting question is from Geometric Sequences in portion Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics

Which of the following sequeces in GP will have common ratio 3, where

1.	Which of the following sequeces in GP will have common ratio 3, where n is an Integer?(a) gn = 2n^2 + 3n(b) gn = 2n^2 + 3(c) gn = 3n^2 + 3n(d) gn = 6(3^n-1)I had been asked this question in an online quiz.This interesting question is from Geometric Sequences in portion Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics
Answer» The correct choice is (d) gn = 6(3^n-1) For EXPLANATION I WOULD say: gn = 6( 3^n-1) it is a geometric EXPRESSION with coefficient of constant as 3^n-1.So it is GP with common RATIO 3.

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