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Let x be the arithmetic mean y,z be the ...

Let x be the arithmetic mean y,z be the two geometric means between any two positive numbers. Then value of `(y^(3) + z^(3))/(xyz)` is

A

2

B

3

C

`1//2`

D

`3//2`

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The correct Answer is:
A
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DIPTI PUBLICATION ( AP EAMET)-SEQUENCES AND SERIES -EXERCISE
  1. If x,y,z are the three geometric means between 6,54, then z =

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  2. IF the A.M and G.M of two numbers are 13 and 12 respectively. Find the...

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  3. Let x be the arithmetic mean y,z be the two geometric means between an...

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  4. 10th term of the hearmenie progression is (2)/(1) + 2 (1)/(2) + 3 (1)/...

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  5. If the fourth term of a H.P is 1/3 and 7th term is 1/4, then 16th term...

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  6. If the third and seventh terms of a H.P. are 1/7, 1/15 respectively, t...

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  7. If mth terms of H.P is n and nth term is m, then (m + n)th term is

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  8. If a,b,c are in H.P and ab + bc ca = 15, then ca =

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  9. If a(1), a(2),…a(n) are in H.P. then a(1).a(2) + a(2).a(3) + a(3).a(4)...

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  10. The cotangents of the angles pi//3, pi//4, pi//6 are in

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  11. If three are four harmonic means between 1/12, 1/42, then the third h...

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  12. Two harmonic means between 1/2, 4/17 are

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  13. H(1),H(2) are 2 H.M.'s between a,b then (H(1) + H(2))/(H(1).H(2)) =

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  14. Let a(1), a(2), …., a(10) be in A.P and h(1), h(2),…. , h(10) be I H.P...

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  15. If the arthimetic mean between a and b is (a^(n + 1) + b^(n + 1))/(a^(...

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  16. If the geometic mean between a and b is (a^(n + 1) + b^(n + 1))/(a^(n)...

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  17. If the harmonic mean between a and b is (a^(n + 1) + b^(n - 1))/(a^(n)...

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  18. x,y are two real numbers. If A is half of their sum, G is root of thei...

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  19. If the first and (2n + 1)th terms of an A.P. , G.P. and H.P. are equal...

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  20. If H(1), H(2), ….. H(n) are n harmonic means between a and b (ne a), t...

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