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Algebra Level 3

If \(\frac { x }{ a } + \frac { y }{ b } =1\) and \(\frac { { x }^{ 2 } }{ a } + \frac { { y }^{ 2 } }{ b } = \frac { ab }{ a+b }\) then the value of \(\frac { { x }^{ n+1 } }{ a } + \frac { { y }^{ n+1 } }{ b }\) is:

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