- #1

johnny009

- 7

- 0

__Dear ALL,__My last Question of the Day?

Let b1 and b2 be a sequence of numbers defined by:

\(\displaystyle b_{n}=b_{n-1}+2b_{n-2}\) where $b_1=1,\,b_2=5$ and $n\ge3$

a) Write out the 1st 10 terms.

b) Using strong Induction, show that:

\(\displaystyle b_n=2^n+(-1)^n\)

Many Thanks

John C.