Question

What are the 1st 5 terms in this sequance? t_n=2t_(n-1)+t_(n-2) where t1=3, t2=4, and n is a natural number greater than or equal to 3.

Answer 1

The first two terms are given,
`t_1=3` and
`t_2=4`.

The third term, according to the formula, is


`t_3=2*4+3=11`

and the next two terms are


`t_4=2*11+4=26`

`t_5=2*26+11=63`