Answer
The first four terms are: 2, 3, 8, 19.
Work Step by Step
${b_1} = 2$, ${b_2} = 3$, ${b_n} = 2{b_{n - 1}} + {b_{n - 2}}$
Since ${b_1}$ and ${b_2}$ are given, we find ${b_3}$ and ${b_4}$:
${b_3} = 2{b_2} + {b_1} = 8$, ${b_4} = 2{b_3} + {b_2} = 19$.
So, the first four terms are: 2, 3, 8, 19.