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If x=(1.3)/(3.6)+(1.3.5)/(3.6.9)+(1.3.5....

If `x=(1.3)/(3.6)+(1.3.5)/(3.6.9)+(1.3.5.7)/(3.6.9.12)+....` then prove that `9x^(2)+24x=11`.

Answer

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Knowledge Check

  • If x = (1.3)/(3.6) + (1.3.5)/(3.6.9) + (1.3.5.7)/(3.6.9.12) + ……. to infinite terms , then 9x^2 + 24x =

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    11
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    41

  • If x=(1)/(3)+(1.3)/(3.6)+(1.3.5)/(3.6.9)+…. , then x^2+2x-2=

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