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The sum of the series (1+2)+(1+2+2^(2))+...

The sum of the series `(1+2)+(1+2+2^(2))+(1+2+2^(2)+2^(3))+…..` up to n terms is

A

`2^(n+2)-n-4`

B

`2(2^(n)-1)-n`

C

`2^(n+1)-n`

D

`2^(n+1)-1`

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WB JEE PREVIOUS YEAR PAPER-QUESTION PAPER 2008-MULTIPLE CHOICE QUESTIONS
  1. Find int 1/(9x^2+6x+5)dx

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  2. The two parabolas x^(2)=4y and y^(2)=4x meet in two distinct points. O...

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  3. The vertex of the parabola x^(2)+2y=8x-7 is

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  4. If P(at(2),2at) be one end of a focal chord of the parabola y^(2)=4ax,...

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  5. The length of the common chord of the parabolas y^(2)=x and x^(2)=y is

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  6. The equation of the ellipse having vertices at (pm5,0) and foci (pm4,0...

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  7. The area included between th parabolas y^(2)=4x and x^(2)=4y is

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  8. The locus of the centres of the circles which touch both the axes is g...

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  9. The sum of the series (1+2)+(1+2+2^(2))+(1+2+2^(2)+2^(3))+….. up to n ...

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  10. Find the 11th term of the sequence {(1)/(2), (1)/(3), (1)/(5), (1)/(8)...

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  11. The equation sqrt(3)sinx+cosx=4 has

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  12. The value of tanalpha+2tan(2alpha)+4tan(4alpha)+...+2^(n-1)tan(2^(n-1)...

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  13. Out of 8 given points, 3 are collinear. How many different straight li...

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  14. Find the following: int 1/(x^2+2x+2)dx

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  15. Let alpha,beta be the roots of x^(2)-2xcosphi+1=0, then the equation w...

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  16. The latus rectum of an ellipse is equal to one-half of its minor axis....

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  17. A particle is projected vertically upwards and is at a height h after ...

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  18. The value of the limit lim(xrarr2)(e^(3x-6)-1)/(sin(2-x)) is

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  19. The limit lim(xrarr2)(5)/(sqrt(2)-sqrt(x)) is

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  20. The range of the function f(x)=log(e)sqrt(4-x^(2)) is given by

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