Question

find the 3rd, 4th, and 5th terms if:
a1=3 a2=6 an=3an-1-2an-2

Answer 1

The first term, a 1 = 3
The second term, a 2 = 6

I will show you how to find the 3rd term, a 3, and then you will find the 4th and 5th term.

The third term, a 3 = ?

So n = 3 (the third term)

Your formula given is that

Answer 2

a n = 3 a (n-1) - 2 a (n-2)

So just substitute n = 3 , because that is what we want..so
you get:

a 3 = 3 a2 - 2 a 1
a 3 = 3(6) - 2(3)
= 18 - 6
= 12

Now, you do the same for the fourth term, a 4. Plug in n = 4, just like I did for n = 3.