Question

The first three terms of a Fibonacci sequence are n 3n 4n find the sixth term I FB the sequence

Answer 1

18n

Explanation:

In the Fibonacci sequence In mathematics, the Fibonacci numbers, commonly denoted
`Fn`, 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

`F4= F2 + F3\\F4=3n+ 4n= 7n`

the Fifth term is

`F5= f3 + f4\\f5= 4n+7n= 11n`

hence the sixth term is

`F6= F4+F5\\ F6= 7n+11n= 18n`