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If g(1), g(2), g(3) are three geometric ...

If `g_(1), g_(2), g_(3)` are three geometric means between two positive numbers a,b then `g_(1) g_(3)` =

A

`g_(2)`

B

`g_(2)^(2)`

C

`2g_(2)`

D

`2g_(2)^(2)`

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The correct Answer is:
B
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DIPTI PUBLICATION ( AP EAMET)-SEQUENCES AND SERIES -EXERCISE
  1. In G.P (p + q)th term is m, (p -q)th term is n, then pth terms is

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  2. If 2pth term of a G.P is q^(2) and 2qth term is P^(2) , then (p + q)th...

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  3. If g(1), g(2), g(3) are three geometric means between two positive num...

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  4. What is the G.M. of 6 and 24?

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  5. One of the 5 geometric means between (1)/(3) and 243 is

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  6. If x,y,z are the three geometric means between 6,54, then z =

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

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

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  9. 10th term of the hearmenie progression is (2)/(1) + 2 (1)/(2) + 3 (1)/...

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

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

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

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

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

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

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

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  18. 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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  19. 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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  20. If the arthimetic mean between a and b is (a^(n + 1) + b^(n + 1))/(a^(...

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