Calculus (3rd Edition)

Published by W. H. Freeman
ISBN 10: 1464125260
ISBN 13: 978-1-46412-526-3

Chapter 11 - Infinite Series - 11.1 Sequences - Exercises - Page 537: 11

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.
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