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3 years ago

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

Mathematics

1 answer:

den301095 [7]3 years ago

5 0

Answer:

Correct answer is third from the top an = 27 · (1/3)∧(n-1)

Step-by-step 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!!!

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