Answer:
Correct answer is third from the top an = 27 · (1/3)∧(n-1)
Explanation:
Given geometric sequence : 27, 9, 3, 1,....
First term a1= 27, second term a2= 9, third term a3= 3 etc...
Standard form of the n-th term is
an = a1 · q∧(n-1)
We will find quotient when we divide second term with first and third with second
q = a2/a1 = a3/a2 = 9/27 = 3/9 = 1/3
Formula fot n-th term is
an = 27 · (1/3)∧(n-1)
God with you!!!