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If `a, b, c ` are in GP and `a, x, b,y, c` ar in AP. then prove that, `1/x + 1/y = 2/b`

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CENGAGE PUBLICATION-BINOMIAL THEOREM-All Questions
  1. The value of underset(r=0)overset(20)sum(-1)^(r )(.^(50)C(r))/(r+2) is...

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  2. In the expansion of [(1+x)(1-x)]^(2), the coefficient of x^(n) will be

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  3. If a, b, c are in GP and a, x, b,y, c ar in AP. then prove that, 1...

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  4. Statement 1: ""^m Cr+ ""^m C(r-1)(""^nC1)+ ""^mC(r-2)(""^n C2)+....+ "...

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  5. 1+(1/4)+((1*3)/(4*8))+((1*4*7)/(4*8*12))+....=

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  6. If |x|<1,then 1+n((2x)/(1+x))+(n(n+1))/(2!)((2x)/(1+x))^2+...... is eq...

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  7. If a, b, c are in AP also in GP Then show that, a=b=c

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  8. The sum of the GP (x+y)/(x-y), 1, (x-y)/(x+y),.....

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  9. Statement 1: In the expansion of (1+x)^(41)(1-x+x^2)^(40), the coeffic...

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  10. The coefficient of x^(n) in (1+x+(x^(2))/(2!) + (x^(3))/(3!) +"….." + ...

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  11. Evaluate the following .^3C2

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  12. Evaluate .^5C2

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  13. The value of sum(r=0)^(10)r""^(10)C(r)3^(r)(-2)^(10-r) is (a) 20 (b) 1...

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  14. Find n if n P1=2

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  15. Evaluate .^5P2

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  16. The value of (.^(n)C(0))/(n)+(.^(n)C(1))/(n+1)+(.^(n)C(2))/(n+2)+"..."...

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  17. The value of .^(20)C(0)+.^(20)C(1)+.^(20)C(2)+.^(20)C(3)+.^(20)C(4)+.^...

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  18. If (3+x^(2008)+x^(2009))^(2010)=a0+a1x^2+....+anx^n, a0-1/2 a1-1/2 a2+...

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  19. Find the seventh term of the G.P: 1, √3, 3, 3 √3, …..

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  20. Find the 10th term of the G.P. : 12, 4, 1 1/3,....

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