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Consider the statement `P(n):1+3+3^2+...+3^(n-1)=(3^n-1)/2` .Prove by principle of mathematical induction,that P(n) is true for all `n inN`

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MAXIMUM PUBLICATION-SOLVED PAPER 18-EXAMPLE
  1. If A and B are two disjoint sets,with n(A)=4 and n(B)=2,then n(A-B)=……...

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  2. Consider the statement P(n):1+3+3^2+...+3^(n-1)=(3^n-1)/2.Show that P(...

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  3. Consider the statement P(n):1+3+3^2+...+3^(n-1)=(3^n-1)/2 .Prove by pr...

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  4. Solve the following inequalities graphically: 2x+yge4.

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  5. Solve the following inequalities graphically: x+yle3.

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  6. Solve the following inequalities graphically: 2x-3yle6.

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  7. Find the square roots of the complex number (3+4i)

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  8. Insert five numbers between 8 and 26 such that the resulting sequence...

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  9. Find the sum to n terms of the series 1times2+2times3+3times4+…

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  10. Find the equation of the perpendicular bisector of the line joining th...

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  11. Find the coordinate of the points on the line y=3x-2 that is equidista...

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  12. Reduce the equation x - y=4 into normal form.

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  13. Write the distance of line x - y=4 from origin.

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  14. Find the derivative of f(x)=xsinx with respect to x.

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  15. Find the derivative of the function y=sqrt x with respect ...

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  16. Consider the point A (3,8,10) and B (6,10,-8).Find the ratio in which ...

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  17. Write the contrapositive of the statement: “If the integer n is odd, t...

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  18. Prove by the method of contradiction : sqrt7 is irrational.”

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  19. If ((x+3)/2,(y-1)/3)=(4,2),find the value of x and y.

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  20. Consider the function f(x)=abs(x) —3 draw the graph of f(x)

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