Question

If a =9 and r= 1/3 Find the 6th term of the G.P

Answer 1

Answer:

formula :

$ar {}^{n - 1}$

9 × (1/3 )^6-1

Answer 2

The 6th term of G.P. is  $\dfrac{1}{27}$

Step-by-step explanation:

Given: a= 9 and r=  $\dfrac{1}{3}$

To find: 6th term of G.P.

As we know the nth term of G.P. is given by $a_n=ar^{n-1}$ where a is the first term r is the common  ratio and n is the number of terms

Therefore

$a_6=9\times (\dfrac{1}{3} )^{6-1}\\\\\Rightarrow a_6= 9\times (\dfrac{1}{3}) ^5\\\\\Rightarrow a_6= \dfrac{1}{27}$

Hence the 6th term of G.P. is $\dfrac{1}{27}$

# Learn more

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