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?

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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?

Mathematics
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just need particular...I've tried over 30 different ways...grrrhhhh!
it seems that I'm getting close but no cigar, lol!
Do you recall what X{0} is? so that we can make the table?

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Other answers:

100...I have the table
60, 32.5, 16.875, 8.59375, 4.3359375, 2.177734375, 1.091308594
if X{0} = 100 then: X{1} = 50 + 10*1 = 60..... ok. that looks right then :)
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;
yes
and what did you find for a general solution?
haven't : (
oh, is particular ahead of general then?
usually general but this question only asked for particular
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 :)
ok thanks alot!
hey man have some owlet than u will have some idea why u ,an intelligent person ask for help
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..
but u r kinda poor in an IQ as i know.
:) that may be true
its almost tru cuz last time u told u left ur iq in los angeels
lol
left it? nah....LOST it :)
the same thing.
isnt it?
u lost cuz u left.
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
so than u r totally dull in an IQ.
Yes, I am a vaccuum when it comes to IQ.
in knowing nothing, I leave myself open to know everything; and in knowing everything, I become nothing....
well u r everything for those guys whom u helped,,but u are nothing for me lol...
just kidding lol
you are genius...
keep it up!the next einstien .
:)

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