Question

Write the rule for the following geometric sequence. 1, 1/3, 1/9, 1/27

Answer 1

You can notice that the denominator is a power of three.

So,you have : 1/3⁰ ; 1/3¹ ; 1/3² ; 1/3³ ; etc....

The rule of the feometric sequence is : n ₓ = 1/3 ˣ

Answer 2

Multiply 1/3 each time. is the rule

1 x 1/3 = 1/3
1/3 x 1/3 = 1/9
1/9 x 1/3 = 1/27
etc etc


hope this helps