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Prove by using the principal of Mathematical Induction `P(n)=1+3+3^2+…..+3^(n-1)=(3^n-1)/2`is true for all `n in N`

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MAXIMUM PUBLICATION-QUESTION PAPER MARCH 18-EXAMPLE
  1. The figure shows the graph of a function f(x) which is a semi circle...

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  2. If 3^(2n+2)-8n-9 is divisible by 'k' for all n in N is true, then whic...

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  3. Prove by using the principal of Mathematical Induction P(n)=1+3+3^2+…....

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  4. Solve the inequality (2x-1)/3ge(3x-2)/4-(2-x)/5

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  5. Solve the inequality (2x-1)/3ge(3x-2)/4-(2-x)/5 Represent the soluti...

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  6. Find the n^(th) term of the sequence 3,5,7,………

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  7. Find the sum to n terms of the series 3xx1^2+5xx2^2+7xx3^2+……..

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  8. Find the equation of the circle passing through the points (4,1) and (...

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  9. Consider a point A(4,8,10) in space Find the distance of the point A...

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  10. Consider a point A(4,8,10) in space Find the distance of the point A...

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  11. Consider a point A(4,8,10) in space.Find the ratio in which the line s...

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  12. Which one of the following sentences is a statement? A) 275 is a perfe...

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  13. Verify by method of contradiction p:sqrt2 is irrational.

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  14. Consider the quadratic equation x^2+x+1=0 Solve the quadratic equa...

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  15. Consider the quadratic equation x^2+x+1=0.Write the polar form of one...

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  16. Consider the quadratic equation x^2+x+1=0.If the two roots of the give...

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  17. Which of the following has its middle term independent of x?

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  18. Write the expansion of (x^2+3/x)^4

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  19. Determine whether the expansion of (x^2+2/x)^18 will contain a term co...

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  20. The figure shows an ellipse x^2/25+y^2/9=1 and a line L. Find the ...

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