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By the principle of mathematical inducti...

By the principle of mathematical induction prove that, `(2^(2^(n))+1)` has 7 in unit's place for all integer `n ge2`.

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CHHAYA PUBLICATION-MISCELLANEOUS EXAMPLES-ALGEBRA
  1. Find the differential coefficient of: x^(5x)

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  2. If x+y=a+b and x^(2)+y^(2)=a^(2)+b^(2), then by mathematical induction...

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  3. By the principle of mathematical induction prove that, (2^(2^(n))+1) h...

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  4. Find the differential coefficient of: x^(9)-5x^(2)+3x

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  5. Find the solution set of inequation (x-2)/(x+5) gt2.

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  6. Find the differential coefficient of: x^(5)+4x

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  7. Find the differential coefficient of: x^(2x)

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  8. Using mathematical induction prove that, "tan"^(-1)(x)/(1*2+x^(2))+"...

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  9. Using mathematical induction prove that, "tan"^(-1)(1)/(3)+"tan"^(-1...

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  10. Using mathematical induction prove that, tan^(-1)((1)/(2*1^(2)))+tan...

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  11. If (1+x+x^(2))^(n)=a(0)+a(1)+x+a(2)x^(2)+...+a(2n)x^(2n), show that a(...

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  12. If (1+x)^(n)=C(0)+C(1)+x+C(2)x^(2)+...+C(n) x^(n) Find the value of ...

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  13. If (1+x)^(n)=C(0)+C(1)+x+C(2)x^(2)+...+C(n) x^(n) Show that C(1)-(1)...

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  14. If (1+x)^(n)=C(0)+C(1)+x+C(2)x^(2)+...+C(n) x^(n) Show that 1^(2)*C...

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  15. If (1+x)^(n)=C(0)+C(1)+x+C(2)x^(2)+...+C(n) x^(n) Show that C(0)^(2)...

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  16. If (1+x)^(n)=C(0)+C(1)+x+C(2)x^(2)+...+C(n) x^(n) Show that (2^(2)*C...

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  17. If (1+x)^(n)=C(0)+C(1)+x+C(2)x^(2)+...+C(n) x^(n) For all values of ...

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  18. If (1+x)^(n)=C(0)+C(1)+x+C(2)x^(2)+...+C(n) x^(n) Show that C(1)^(2)...

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  19. If (1+x)^(n)=C(0)+C(1)+x+C(2)x^(2)+...+C(n) x^(n) show that (C(0))^(...

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  20. Show that the sum of the coefficient of first (r+1) terms in the expan...

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