Does anybody know recursive definition?

What is recursive definition of the sequence a_n:

n = 1,2,3..... if

a)

b)

c)

d)

Can anyone also explain me how he/she got the above answers!

Printable View

- June 1st 2008, 01:09 PMrobocop_911"Recursive definition"
Does anybody know recursive definition?

What is recursive definition of the sequence a_n:

n = 1,2,3..... if

a)

b)

c)

d)

Can anyone also explain me how he/she got the above answers! - June 1st 2008, 01:16 PMsean.1986
- June 1st 2008, 01:18 PMsean.1986
b) a1 = 0 an = |an-1 - 2|

- June 1st 2008, 01:30 PMrobocop_911
- June 1st 2008, 01:40 PMMathstud28
- June 1st 2008, 01:44 PMMoo
Hi !

For the first one for example, you can notice that and

So here is your recursive relation. Plus, for the first term, just replace n by 0 in - June 1st 2008, 01:47 PMrobocop_911
- June 1st 2008, 01:49 PMMathstud28
- June 1st 2008, 01:49 PMMoo
- June 1st 2008, 02:17 PMrobocop_911
- June 1st 2008, 02:20 PMsean.1986
Actually I'm 21. I was in a rush because the England game was about to start and that's why I left suddenly.

EDIT: You might also want to get someone to check my answer on this thread, too. Just in case my lack of experience is obvious. - June 1st 2008, 02:26 PMsean.1986
Well I would've thought the intermediate work was obvious for the first 2 when you look at the answers and the questions, but maybe I'm wrong?

For the second question, it alternates between 0 and 2, so it's the modulus of 2 minus the previous value.

0-2 = -2... |-2| = 2

2-2 = 0 - June 1st 2008, 03:23 PMbobak
I find your comments towards sean offensive, If I was sean I would have stopped offering your help a long time ago. in this thread you are simple just being rude and unappreciative, Sean is offering you very good help and your as opposed to thanking him you're simply being rude, your attitude goes against what a forum like this stands for. I suggest you seek some paid tuition service where "experienced" people will help on demand as with your current attitude I cannot imagine people on this forum will want to help you (myself included).

Bobak - June 1st 2008, 03:28 PMrobocop_911
- June 1st 2008, 04:16 PMrobocop_911Seems like a hard topic
Seems like my topic (questions) is/are really "hard" and odd. No wonder I didn't get any replies up till now!...