Answer:
18n
Step-by-step explanation:
In the Fibonacci sequence In mathematics, the Fibonacci numbers, commonly denoted [tex]Fn[/tex], form a sequence, called the Fibonacci sequence, such that each number is the sum of the two preceding ones, starting from 0 and 1.
Given data
First term= n
second term = 3n
third term = 4n
According to Fibonacci sequence the fourth term is
[tex]F4= F2 + F3\\F4=3n+ 4n= 7n[/tex]
the Fifth term is
[tex]F5= f3 + f4\\f5= 4n+7n= 11n[/tex]
hence the sixth term is
[tex]F6= F4+F5\\ F6= 7n+11n= 18n[/tex]
