Sequence your series(1)

Algebra Level 3

y - 1 y \frac{1}{y} y 1 y \frac{y}{1-y} y + 1 y \frac{1}{y} y 1 + y \frac{y}{1+y}

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1 solution

Jaiveer Shekhawat
Dec 10, 2014

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I made a silly mistake and thus I can't add a solution in the solution box but I can post it here.So here it is,Because it is given that y = x x 2 + x 3 x 4 + . . . . ( 1 ) y=x-x^{2}+x^{3}-x^{4}+....(1) we can say that y = x ( 1 x + x 2 x 3 + . . . ) . . . . . . ( 2 ) y=x(1-x+x^{2}-x^{3}+...)......(2) .But y = x + x 2 x 3 + x 4 . . . . ( 3 ) . -y=-x+x^{2}-x^{3}+x^{4}-....(3). From 2 2 and 3 3 we have y = x ( 1 y ) x = y 1 y . y=x(1-y)\Rightarrow\ x=\dfrac{y}{1-y}.

Adarsh Kumar - 6 years, 6 months ago

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Still a good one!

jaiveer shekhawat - 6 years, 6 months ago

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thanx!But how is this a Level 4 problem?!!?!!?!?

Adarsh Kumar - 6 years, 6 months ago

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@Adarsh Kumar It's not me who make it a level 4 or level 3, it's the Brilliantites all over the world who decide the level of the problem...

jaiveer shekhawat - 6 years, 6 months ago

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