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

$t_3=2\times4+3=11$

and the next two terms are

$t_4=2\times11+4=26$
$t_5=2\times26+11=63$