johnny009
- 6
- 0
Dear ALL,
My last Question of the Day?
Let b1 and b2 be a sequence of numbers defined by:
$$b_{n}=b_{n-1}+2b_{n-2}$$ where $b_1=1,\,b_2=5$ and $n\ge3$
a) Write out the 1st 10 terms.
b) Using strong Induction, show that:
$$b_n=2^n+(-1)^n$$
Many Thanks
John C.
My last Question of the Day?
Let b1 and b2 be a sequence of numbers defined by:
$$b_{n}=b_{n-1}+2b_{n-2}$$ where $b_1=1,\,b_2=5$ and $n\ge3$
a) Write out the 1st 10 terms.
b) Using strong Induction, show that:
$$b_n=2^n+(-1)^n$$
Many Thanks
John C.