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Write an explicit rule for the geometric sequence (answers down below) :

Write an explicit rule for the geometric sequence (answers down below) :-example-1
User Reed Morse
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1 Answer

1 vote

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!!!

User Benjamin Merchin
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