Which term of the G.P. $\sqrt{3}, 3\sqrt{3}, 9\sqrt{3}, \dots$ is $729\sqrt{3}$ ?

1. 7th

2. 6th

3. 9th

4. 8th

If a₁, a₂, a₃, ……., a_n is a G.P. having common ratio r and k is a natural number such that 3 < k < n, then r is equal to :

1. $\dfrac{a$k}{a{1}}

2. $\dfrac{a$1}{a2}

3. $\dfrac{a$k}{a{n-3}}

4. $\dfrac{a${k-1}}{a{k-2}}

The common ratio of the G.P. $\dfrac{1}{a^3x^3},\ ax,\ a^5x^5,\ \dots$ is :

1. $\dfrac{1}{a^2x^2}$

2. $\dfrac{1}{a^4x^4}$

3. a²x²

4. a⁴x⁴

The common ratio of the G.P. 0.15, 0.015, 0.0015, …… is :

1. 0.1

2. 0.01

3. 1

4. 0.001