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Calculate the sum of the series : 3-3/2+...

Calculate the sum of the series : `3-3/2+3/2^2-3/2^3+….`

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UNITED BOOK HOUSE-MODEL QUESTION PAPERS-SET 15-EXERCISE
  1. If ^25Cr=^25C(2r+1),the value of ^rC5is

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  2. If (1+x)^n=C0+C1x+C2x^2+…..+Cnx^n.then show that C1+2C2+….nCn=n.2^(n-1...

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  3. Calculate the sum of the series : 3-3/2+3/2^2-3/2^3+….

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  4. Find the length of the intercept of the staight line 3x +4y = 12 with ...

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  5. Find the image of the co-ordinate of a point.(-3, 4, 7) with respect t...

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  6. Find the value of :lim(xrarr0)(sin2x+sin6x)/(sin5x-sin3x)

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  7. If 4f(x) + 3f(-x) = 7 - 3x, find the value of f(1).

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  8. A box contains 6 white balls and 4 black balls, A ball is drawn at ran...

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  9. Mean of the getting mathematics number of 70 students is 45. If SD is....

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  10. A and B are two sets and if n(A) = 4 and n(B) = 7, then find the minim...

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  11. Show that cot 7(1^@/2)=2+sqrt2+sqrt3+sqrt6

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  12. If a^4+b^4+c^4+a^2b^2=2c^2(a^2+b^2),, then show thatangleC=60^@or120^@

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  13. By ........in "Principle of Mathematical Induction" prove that for all...

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  14. If w be a imaginary cube root of uniyt and a+b+c=0 then show that (a+b...

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  15. How many different numbers of 5 digits each (without repetition of dig...

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  16. Prove that the middle term in the expansion of (1+x)^(2n)is(1.3.5........

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  17. Show that the points (-4, 0). (6, 4), (5, 0)and (0, -2) form a trapezi...

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  18. If p and q are the lengths of perpendiculars from the origin to the li...

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  19. Find the equation to the circle described on the common chord of the g...

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  20. Find the ratio in which the ZX plane divides the line segment joining ...

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