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Which one of the following statements is...

Which one of the following statements is correct ?

A

`H_1gtH_2gtH_3gt.....`

B

H_1ltH_2ltH_3lt.....

C

`H_1gtH_3gtH_5gt.....and H_2ltH_4ltH_6lt...`

D

`H_1ltH_3ltH_5lt.....and H_2gtH_4gtH_6gt...`

Text Solution

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The correct Answer is:
B
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PATHFINDER-PROGRESSION AND SERIES -QUESTION BANK
  1. Which one of the following statements is correct ?

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  2. Let sinalpha,cosalpha, be the roots of the equation x^2-bx+c=0. Then w...

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  3. Which one of the following statements is correct ?

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  4. The sum V1+V2+.....Vn is

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  5. Tr is always

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  6. Which one of the following statements is correct ?

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  7. Match List-I with List-II

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  8. The roots of equation x^2+2(a-3)x+9=0 lie between -6 and 1 and 2 , h1,...

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  9. If a,b,c ,d are distinct integer in AP such that d=a^2+b^2+c^2, then a...

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  10. If log2(a+b)+log2(c+d)ge4 . Then the minimum value of the expression a...

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  11. Let a1,a2,a3,.......a11 be real number satisfying a1=15,27-2a2gt0 anda...

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  12. The interior angles of a polygon are in arithmetic progression. The sm...

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  13. Find the sum of the first n terms of the series 1^3+3.2^2+3^3+3.4^2+5^...

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  14. Find the sum of the first n terms of the series 1^3+3.2^2+3^3+3.4^2+5^...

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  15. Does there exist a GP containing 27,8 and 12 as three of its terms ? I...

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  16. The sum of the squares of three distinct real numbers, which are in GP...

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  17. Prove that the three successive terms of a GP will form the sides of ...

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  18. If (m+1)^th ,(n+1)^th and (r+1)^th terms in AP are in GP m,n,r are in ...

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  19. If p be the first of n arithmetic means between two numbers and q be t...

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  20. Show that 1^4/13+2^4/3.5+3^4/5.7+.....+n^4/((2n-1)(2n+1))=(n(4n^2+6n+5...

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