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Find the sum of series 4 - 9x + 16 x^(2)...

Find the sum of series `4 - 9x + 16 x^(2) - 25 x^(3) + 36 x^(4) - 49 x^(5) + ...oo`

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The correct Answer is:
` S = (4+3x+x^(2))/((1+x^(3)))`
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