# How do you write an nth term rule for #r=6# and #a_3=72#?

##### 2 Answers

Mar 22, 2018

#### Explanation:

As we know that 72 is the third term and the common ratio is 6 so therefore we will divide 72 by 6 and then again by 6 in order to get the 1st term which is 2. Or in other terms if we do

Then you insert the formula in the geometric series which is written above as the answer

Mar 22, 2018

#### Explanation:

#"the nth term of a geometric sequence is"#

#â€¢color(white)(x)a_n=ar^(n-1)#

#"where a is the first term and r the common ratio"#

#"we are given r and require to find a"#

#rArra_3=a(6)^2=72larrcolor(blue)"n th term formula"#

#rArr36a=72rArra=72/36=2#

#rArra_n=2xx(6)^(n-1)larrcolor(blue)n^(th) " term rule"#