What is the next term of the following sequence? 12, 6, 3, ...
Mathematics · High School · Tue Nov 03 2020
llm
Answered on
12, 6, 3, _
This is a geometric sequence since there is a common ratio between them.
In this the sequence is:
12/6 = ½
6/3 = ½
Sequence= ½
The formula for the sequence is:
an =ar^(n-1)
∴a= is the first number of sequence =12
r= common sequence =½
n= sequence number =4
an = 12*(½)^(4-1)
an = 12*(½)³
an = 12*(⅛)
an = 1.5
So the sequence is
12, 6, 3, 1.5