Find nth term of the G.P. $$\sqrt{3}, \dfrac{1}{\sqrt{3}}, \dfrac{1}{3\sqrt{3}}, …$$

Asked by Aaryan | 1 year ago |  59

##### Solution :-

nth term of the G.P. $$\sqrt{3}$$, $$\dfrac{1}{\sqrt{3}}$$, $$\dfrac{1}{3\sqrt{3}}$$, …

We know that,

t1 = a = $$\sqrt{3}$$, r = $$\dfrac{\dfrac{1}{\sqrt{3}}}{\sqrt{3}}$$

= $$\dfrac{1}{\sqrt{3}\times \sqrt{3}}$$$$\dfrac{1}{3}$$

By using the formula,

Tn = arn-1

Tn = $$\sqrt{3}(\dfrac{1}{3})^{n-1}$$

Answered by Sakshi | 1 year ago

### Related Questions

#### Construct a quadratic in x such that A.M. of its roots is A and G.M. is G.

Construct a quadratic in x such that A.M. of its roots is A and G.M. is G.

#### Find the two numbers whose A.M. is 25 and GM is 20.

Find the two numbers whose A.M. is 25 and GM is 20.

#### If a is the G.M. of 2 and 1/4 find a.

If a is the G.M. of 2 and $$\dfrac{1}{4}$$ find a.

#### Find the geometric means of the following pairs of numbers

Find the geometric means of the following pairs of numbers:

(i) 2 and 8

(ii) a3b and ab3

(iii) –8 and –2

Insert 5 geometric means between $$\dfrac{32}{9}$$ and $$\dfrac{81}{2}$$.