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If n in N,then prove by mathematical ind...

If n in N,then prove by mathematical induction that 7^(2n)+2^3(n-1).3^(n-1) is always a multipe of 25.

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UNITED BOOK HOUSE-ANNUAL EXAMINATION QUESTION PAPERS 2017-EXERCISE
  1. If sin^4alpha/a+cos^4alpha/b=1/(a+b),then show that sin^8alpha/a^3+cos...

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  2. If for a triangle ABC , cot A+cotB+cotC=sqrt3,then show that the trian...

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  3. If n in N,then prove by mathematical induction that 7^(2n)+2^3(n-1).3^...

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  4. If z=x+iy and (z-i)/(z+1)is purely imaginary,then show that the point ...

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  5. How many odd numbers of fve digits can be formed with the digits 3,6,7...

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  6. Prove that the middle term in the expansion of (1+x)^(2n)is(1.3.5........

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  7. If the ratio the sum of 1st n terms of two arithemtic series is (4n-13...

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  8. Find the equations of the lines passing thorugh the point (4,5)making ...

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  9. If the equation of the side BC of an equilateral triangle ABC is x+y=2...

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  10. A circle in the first quadrant touches both the axes its centre lies o...

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  11. Evaluate:underset(x rarr 0)(lim)((e^(x)-1)log(1+x))/(sin^(2)x)

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  12. Find from the first principle,the derivative of f(x)=sec2xat x=pi/8.

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  13. Prove by method of contradiction that sqrt5is an irrational number

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  14. Prove that truth table ~(pvq)=~p~q.

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  15. If 30 dates are named at random,find the probability that 5 of them wi...

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  16. calculate the mean deviation about median for the following data:

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  17. Solve: 4 sin x sin 2x sin 4x =sin3x.

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  18. if tan (theta/2)=sqrt((1-e)/(1+e))tan (varphi/2),then prove that cos v...

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  19. Solve the following inequation (|x+2|+2x)/(x+2)>2.

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  20. Solve applying formula: 3x^2-(2-i)x+10-4i=0

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