Question

find the 6th term of G.P 1,1/3,1/9 1/27​

Answer 1

Given:

G.P. ➺ 1, 1/3 , 1/9 , 1/27

To Find:

• 6th term of given G.P.

Solution:

For the given G.P.,

First Term,a= 1

Common ratio,r= $\dfrac{1}{3}$

We know that,

$\sf{General\:term\:of\:G.P.\:,a_{n}=ar^{n-1}}$

where,

a is first term of G.P.

r is common ratio of G.P.

So,

6th term of given G.P,

$\longrightarrow a_{6}=ar^{6-1}$

$\longrightarrow a_{6}=(1)\bigg(\dfrac{1}{3}\bigg)^{5}$

$\longrightarrow\pink{a_{6}=\dfrac{1}{243}}$

Hence, the 6th term of the given G.P. is $\dfrac{1}{243}$.