Sceptre12
an = an−1 + 3an−2, a0 = 1, a1 = 2
Delete
Share
This Question is Open
ZeHanz
Best Response
You've already chosen the best response.
1
What do you have to do with this sequence?
ZeHanz
Best Response
You've already chosen the best response.
1
Maybe it's clearer to write it as: \[a_n=a_{n-1}+3a_{n-2}\]\[a_0=1,a_1=2\]
Sceptre12
Best Response
You've already chosen the best response.
0
its a recursive sequence
Sceptre12
Best Response
You've already chosen the best response.
0
Yeah sorry
Sceptre12
Best Response
You've already chosen the best response.
0
im trying to figure it out because the way i keep solving it is apparently wrong by the book
ZeHanz
Best Response
You've already chosen the best response.
1
Yes, I see that, but what is your question about it?
Do you need terms of this sequence?
Sceptre12
Best Response
You've already chosen the best response.
0
yes how do you solve it
ZeHanz
Best Response
You've already chosen the best response.
1
It says:
If you want to know a certain number of this sequence, you need the two numbers before it.
Take the last number and add 3 times the number before it to get the new one.
That is why there are two start numbers given.\[a_2=a_1+3a_0\]\[a_3=a_2+3a_1\]So you can calculate every number in the sequence.
I don't understand what you mean by solve it.
Sceptre12
Best Response
You've already chosen the best response.
0
Okay so if i was to do it like that then .. a2 = 2 + 3(1) = 5
right?
ZeHanz
Best Response
You've already chosen the best response.
1
OK
Sceptre12
Best Response
You've already chosen the best response.
0
and a3 = 5 + 2 = 7
Sceptre12
Best Response
You've already chosen the best response.
0
is that right or wrong because my book says im wrong
ZeHanz
Best Response
You've already chosen the best response.
1
You are, because it is 5 + 3*2 = 11
Sceptre12
Best Response
You've already chosen the best response.
0
ohh true
Sceptre12
Best Response
You've already chosen the best response.
0
sorry about that last part but the book says
Sceptre12
Best Response
You've already chosen the best response.
0
dont worry i see the mistake
Sceptre12
Best Response
You've already chosen the best response.
0
lol i never took into consideration a0 and a1 as being apart of the answer so i was so confused as to how they got 1,2,5, then 11 lol
ZeHanz
Best Response
You've already chosen the best response.
1
So
a4 = 11 + 3*5 = 26
a5= 26 + 3*11 = 59 etc.
Sceptre12
Best Response
You've already chosen the best response.
0
thank you
lol
ZeHanz
Best Response
You've already chosen the best response.
1
YW!
a0 and a1 are needed to give you a way to "start up"..
Sceptre12
Best Response
You've already chosen the best response.
0
yea