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Using mathematical induction , show that...

Using mathematical induction , show that `n(n+1)(n+5)` is a multiple of `3`.

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JBD PUBLICATION-MODEL PAPER (2)-EXERCISE
  1. Prove that: 2cos frac (pi)(13)cos frac (9pi)(13)+cos frac (3pi)(13)+co...

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  2. If sinx=-5/13 and x lies in IIIrd quadrant. Find the value of secx+tan...

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  3. Using mathematical induction , show that n(n+1)(n+5) is a multiple of...

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  4. Determine the number of 5 card combinations out of a deck of 52 cards ...

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  5. If 1/(6!)+1/(7!)=x/(8!), find x

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  6. Find the sum of all natural numbers lying between 100 and 1000, which ...

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  7. Find the sum of n terms of the following sequences: 8+88+888+……………..up...

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  8. Find the angle between x-axis and line joining points (5,-1) and (3,-4...

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  9. Find the equation of the circle with the centre (1/2,1/4) and radius 1...

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  10. Evaluate: underset(xrarr1)lim[(x-2)/(x^2-x)-1/(x^3-3x^2+2x)].

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  11. Find the derivative of 5x^3(x-1).

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  12. Three coins are tossed once. Find the probability of getting at least ...

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  13. Three coins are tossed once. Find the probability of getting at most t...

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  14. If (5-3i)^2=a+ib then find the values of a and b.

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  15. If x-iy= sqrt((a-ib)/(c-id)) prove that (x^2+y^2)^2= (a^2+b^2)/(c^2+d^...

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  16. Solve the following system of inequalities graphically: 2x + y ge 6, 3...

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  17. Solve the system of inequalities and show that solution graphically on...

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  18. Evaluate: underset(xrarr2)lim (x^3-4x^2+4x)/(x^2-4).

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  19. Find the derivative of x^-4(3-4x^(-5)).

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  20. The mean and standard deviation of a group of 100 observations were fo...

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