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If (2^(2n)-1)is divisible by 3, then sho...

If `(2^(2n)-1)`is divisible by 3, then show that `[2^(2(n+1))-1]`is also divisible by. 3

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UNITED BOOK HOUSE-MCQ-EXERCISE
  1. Solve :3sin^2x+7cos^2x=6

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  2. In triangleABC angleB=60^(@), c=2sqrt(3), b =3sqrt(2) then find angle...

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  3. If (2^(2n)-1)is divisible by 3, then show that [2^(2(n+1))-1]is also d...

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  4. Simplify : (1+i)^(-2)-(1-i)^(-2)

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  5. Find a quadratic equation with rational co-efficient whose one root is...

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  6. State fundamental theorem of algebra

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  7. If ^9P5 + 5. ^9P4 = ^I0Pr, find r.

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  8. If ^nC4=21xx^(n//2)C3find n.

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  9. Find the middle term (or terms) in the following expansions: (iii) (...

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  10. The sum to n terms of an A.P. is n^(2). Find the common difference.

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  11. If the slope of the line joining the points (2k,-2) and (1,-k) be (-2)...

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  12. Find the equation to the circle whose parametric equations are, x = ...

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  13. Find the equation- of the porabola whose co-ordinates of the vertex an...

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  14. Find the the co-ordinates of the point on the ellipse x^2 + 2y^2 =4 wh...

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  15. Show that the eccentricities of the two hyperbolas x^2/16-y^2/9=1and x...

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  16. Find the co-ordinates of the point of trisection of the line segment j...

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  17. show that lim(nrarr0)(root(3)(n+1)-1)/n=1/3

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  18. If f(x)=x|x|,prove that f'(x)=2|x|.

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  19. if lim(xrarra)f(x)=lim(xrarra)g(x),then whether f(x)=g(x) is always tr...

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  20. From the following array, find out the mean deviation. 7,9,16,24,26,3...

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