Can anyone give me the general term, t_n, or pattern for the following data: ...0, 1, 4, 5, 8, 9, 12, 13, 16, 17... including negatives.
Follow Math Help Forum on Facebook and Google+
Originally Posted by blaise Can anyone give me the general term, t_n, or pattern for the following data: ...0, 1, 4, 5, 8, 9, 12, 13, 16, 17... including negatives. $\displaystyle a_n=a_{n-2}+4$ with $\displaystyle a_0=0,\ a_1=1$ .
Ah, I was hoping it wouldn't be recursive. Thanks a lot, though.
Originally Posted by blaise Ah, I was hoping it wouldn't be recursive. Thanks a lot, though. Non-recursive you say: $\displaystyle a_{n}=4\times \lfloor n/2\rfloor +(n-2\times \lfloor n/2\rfloor)=2\times \lfloor n/2\rfloor +n$ .
Originally Posted by blaise Can anyone give me the general term, t_n, or pattern for the following data: ...0, 1, 4, 5, 8, 9, 12, 13, 16, 17... including negatives. $\displaystyle t_{2n+1} = 4n$ and $\displaystyle t_{2n+2} = 4n + 1$.
View Tag Cloud