The 6th term is ( 4 / 27 ) and the recursive formula is q = 1/3.
What is geometric progression?
When there is a constant between the two successive numbers in the series then it is called a geometric series.
The 6th term of the series is calculated as:-
1st term = 36
2nd term = 12
3rd term = 4
The recursive formula is,
q = 12/36 = 1/3
The 6th term is,
[tex]a_n = a_1( r )^{n-1}[/tex]
[tex]a_6=36 ( \dfrac{1}{3})^5=\dfrac{4}{27}[/tex]
Therefore, the 6th term is ( 4 / 27 ) and the recursive formula is q = 1/3.
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