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Algebra Level 3

If xa+yb=1\frac { x }{ a } + \frac { y }{ b } =1 and x2a+y2b=aba+b\frac { { x }^{ 2 } }{ a } + \frac { { y }^{ 2 } }{ b } = \frac { ab }{ a+b } then the value of xn+1a+yn+1b\frac { { x }^{ n+1 } }{ a } + \frac { { y }^{ n+1 } }{ b } is:

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