Question

What is the explicit rule for the geometric sequence? 4.05,1.35,0.45,0.15,...

Answer 1

Explanation:

Since the above sequence is a geometric sequence

For an nth term in a geometric sequence

That's

`A(n) = a( {r})^(n - 1)`

where

r is the common ratio

a is the first term

n is the number of terms

From the question

a = 4.05

r = 1.35 / 4.05 = 0.33

Substitute the values into the above formula

We have

`A(n) = 4.05( {0.33})^(n - 1)`

Hope this helps you