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Consider the statement `P(n):1/1.2+1/2.3+1/3.4+.....+1/{n(n+1)}=n/(n+1)`.Prove that P(n) is true for all `n in N` using the principle of mathematical induction.

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MAXIMUM PUBLICATION-MODEL PAPER 18-EXAMPLE
  1. Evaluate lim(x→ -4)(2x+8)/(x^2+x-12).

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  2. Consider the statement P(n):1/1.2+1/2.3+1/3.4+.....+1/{n(n+1)}=n/(n+1)...

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  3. Consider the statement P(n):1/1.2+1/2.3+1/3.4+.....+1/{n(n+1)}=n/(n+1)...

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  4. Consider the complex number z=(1+3i)/(1-2i). Write z in the form a+ib

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  5. Consider the complex number z=(1+3i)/(1-2i).Write z in polar form.

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  6. Solve the following inequalities graphically x-2yle3,3x+4yge12,xge0,...

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  7. How many 3 letter words with or without meaning can be formed using 26...

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  8. Find the number of permutation of letters of the word MATHEMATICS.

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  9. Consider the given below. A(3,0) and B(0,2) are two points on axes. Th...

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  10. Equation of the parabola given in the figure is y^2=8x Find the foc...

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  11. Let L be the line x-2y+3=0.Find the equation of the L1 which is parall...

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  12. Let L be the line x-2y+3=0.The equation of line L1 is parallel to L an...

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  13. Consider a point A (3,2,-1) in space.Write the octant in which A belon...

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  14. Consider a point A (3,2,-1) in space.If B (1,2,3) is another point in ...

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  15. Write the contrapositive of the statement.p: If a triangle is equilate...

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  16. Verify by method of contradiction: 'sqrt3 is irrational.

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  17. If A={a,b} write AtimesAtimesA.

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  18. If R={(x,x^3):x is a prime number less than 10}. Write R in roster for...

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  19. Find the domain and range of the real function f(x)=2+sqrt(x-1)

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  20. The minute hand of a watch is 3cm long. How far does its tip move in 4...

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