I am stuck on this question, and do not know where to head with it.
Find the solution to An= 2An-1 + An-2 - 2An-3 for n=2,3,4,5......, with a0=3, a1=6 and a2=0
(Note that n-1, n-2, n-3 are subscripts)
Well it depends by your level in maths
The characteristic polynomial is whose roots are -1, 1 and 2
-1)^n + \beta \: 1^n + \gamma \: 2^n" alt="a_n = \alpha \-1)^n + \beta \: 1^n + \gamma \: 2^n" />
, , values are found by the values of , ,
-1)^n + 6 \:\: 1^n - 2^n" alt="a_n = -2 \-1)^n + 6 \:\: 1^n - 2^n" />