Question

Recurrsion equations: X{n+1} = (1/2) X{n} + 10*(1/4^n).

Any idea how to find the general and particular solutions to this thing?

Answer 1

just need particular...I've tried over 30 different ways...grrrhhhh!

Answer 2

it seems that I'm getting close but no cigar, lol!

Answer 3

Do you recall what X{0} is? so that we can make the table?

Answer 4

100...I have the table

Answer 5

60, 32.5, 16.875, 8.59375, 4.3359375, 2.177734375, 1.091308594

Answer 6

if X{0} = 100 then:

X{1} = 50 + 10*1 = 60..... ok. that looks right then :)

Answer 7

X{0} = 100;
X{1} = 60;
X{2} = 32.5;
X{3} = 16.875;
X{4} = 8.59375;
X{5} = 4.3359375;
X{6} = 2.177734375;
X{7} = 1.09130859375;
X{8} = 0.5462646484375;

Answer 8

yes

Answer 9

and what did you find for a general solution?

Answer 10

haven't : (

Answer 11

oh, is particular ahead of general then?

Answer 12

usually general but this question only asked for particular

Answer 13

A{n+1} = (1/2) A{n} + 5*(1/2)^(n)

is what Wolfram pops out, but it gives no explanation as to how it gets it :)

Answer 14

ok thanks alot!

Answer 15

hey man have some owlet than u will have some idea why u ,an intelligent person ask for help

Answer 16

i dont smoke, but thanx? asking questions is the sign of intelligence, otherwise, we would only know what we know and never expand to greater horizons..

Answer 17

but u r kinda poor in an IQ as i know.

Answer 18

:) that may be true

Answer 19

its almost tru cuz last time u told u left ur iq in los angeels

Answer 20

lol

Answer 21

left it? nah....LOST it :)

Answer 22

the same thing.

Answer 23

isnt it?

Answer 24

u lost cuz u left.

Answer 25

your the one with the IQ ;) you tell me...

to leave is to know where to get it from; too lose is to never find again

Answer 26

so than u r totally dull in an IQ.

Answer 27

Yes, I am a vaccuum when it comes to IQ.

Answer 28

in knowing nothing, I leave myself open to know everything; and in knowing everything, I become nothing....

Answer 29

well u r everything for those guys whom u helped,,but u are nothing for me lol...

Answer 30

just kidding lol

Answer 31

you are genius...

Answer 32

keep it up!the next einstien .

Answer 33

:)