Answer: Answer is AR^n-1 (A multiplied by R {raised to the power of n minus 1} )
Step-by-step explanation: The above sequence is a geometric progression or geometric sequence. Each term is derived or calculated by multiplying with a common ratio.
The common ratio is not given but is normally calculated as each term divided by the previous term. That is, R (common ratio) is
81/243, or 27/81, or 9/27...,
So our common ratio here is ⅓
Hence, the Geometric progression now has its recursive rule written as
AR^n-1
Where A = 2, R = ⅓ and n is the nth term