rsolve and telescopic sums

Question:rsolve and telescopic sums

Posted: brian bovril 914 Product: Maple

February 03 2013

Hi, would like to know if maple commands can replicate/automate this solution.

rsolve({a(n)=9/19*a(n+1)+10/19*a(n-1),a(0)=0},a)

=-9a(1)+9a(1)(10/9)^n

.......?

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