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Find general formula for \(a_{n+2}=9a_{n+1}-8a_n\) where \(a_0=1, a_1=8\) Please, help
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I got a2=64 a3= 568 a4=4600 but still not get the formula for \(a_n\) yet,
@ikram002p
you want to use generating functions ?
I want recursive formula for an
\(a_n = 8^n\) is correct for n =0,1,2 only
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it changes when n =3 and up
and I have \(a_3 = 73a_1-72a_0\) \(a_4= 585a_1-584a_0\)
but need general form for an
brb
;_; Sorry Hoa can't help now :(
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a_0 = 1 a_1 = 8 a_2 = 9*8 - 8*1 = 64 a_3 = 9*64 - 8*8 = 512 a_4 = 9*512 - 8*64 = 4096
\(a_n = 8^n\) is a correct formula
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