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Use principle of mathematical induction to prove that:`1+2+3+……….+n=(n(n+1))/2`

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JBD PUBLICATION-MODEL PAPER (1)-EXERCISE
  1. Combine the following statements using "if and only if' p: if the sum ...

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  2. Combine the following statements using "if and only if' p: if the sum ...

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  3. Assume that P(A) = P(B). Show that A = B

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  4. Let A={1,2,3}, B={2,3,4} and C={4,5,6}.verify that: Axx(BcapC)=(AxxB)c...

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  5. Prove that : tan 4 theta= (4 tan theta(1-tan^2 theta)) /(1-6 tan^2 t...

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  6. If sinx=3/5, cosy=-12/13, where x and y both lie in second quadrant, f...

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  7. Use principle of mathematical induction to prove that:1+2+3+……….+n=(n(...

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  8. In how many ways can 6 girls and 4 boys be seated in a row so that no ...

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  9. Determine the value of n if ^(n)C3: ^nC2=5:1.

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  10. Which term of the sequence 24, 23 1/4, 22 1/2, 21 3/4, ….. is the firs...

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  11. If the G.P's 5,10,20,…………and 1280,640, 320…………..have their nth terms e...

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  12. The base of an equilateral triangle with side 2a lies along the y-axis...

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  13. Find the equation of the circle passing through (0,0) and making inte...

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  14. Evaluate:underset(xrarr0)lim(sin5x)/(sin8x)

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  15. Find the derivative of cosx from first principle.

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  16. In class XI of a school 40% of the students study Mathematics and 30% ...

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  17. If 3(cospi/6+isinpi/6)=a+ib, then find the values of a and b.

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  18. Give the graphical solution of the following system of inequalities: 2...

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  19. Evaluate:underset(xrarr0)lim(cosecx-cotx).

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  20. Find the derivative of (ax^2-b^2)^2.

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