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Which one of the following is true about...

Which one of the following is true about A.M. , G.M. and H.M. :

A

`H.M.geG.M.geA.M.`

B

`A.M.geH.M.geG.M.`

C

`A.M.geG.M.geH.M.`

D

`G.M.geH.M.geA.M.`

Text Solution

Verified by Experts

The correct Answer is:
C
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To prove that A.M>=G.M>=H.M

QUANTUM CAT-SEQUENCE, SERIES & PROGRESSIONS-QUESTION BANK
  1. Find the sum of n terms of the series 1+4/5+7/(5^2)+10+5^3+dot

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  2. Find the sum to n terms of the series 1+4/5+7/5^2+10/5^3+……find the su...

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  3. Which one of the following is true about A.M. , G.M. and H.M. :

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  4. If a,b,c are in A.P. b, c,d are in G.P. and c,d,e are in H.P., then wh...

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  5. If A.M. and G.M. of two numbers is 10 and 8 respectively then find the...

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  6. Find the number of terms in the G.P. whose first term is 3 sum is (409...

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  7. Find the common ratio of the G.P. whose first and last terms are 5 and...

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  8. Find the sum of the series 2sqrt3 , 2sqrt2 , 4/(sqrt3) , ….

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  9. The number of terms in an A.P. is even , the sum of odd terms is 63 a...

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  10. The sum of four consecutive terms in A.P. is 36 and the ratio of produ...

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  11. Find the sum of the three number in G.P. whose product is 216 and the ...

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  12. The sum of four consecutive terms in A.P. is 36 and the ratio of produ...

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  13. The sum of four integers in A.P. is 24 and their product is 945. Find ...

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  14. In an A.P. consisting of 23 terms , the sum of the three terms in the ...

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  15. The sum of an infinite G.P. is 4 and the sum of their cubes is 192. Fi...

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  16. Vibhor joined as an area manager of Quick Corporation in the pay scale...

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  17. How many terms are common in two arithmetic progression 1,4,7,10,… upt...

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  18. The value of 3^(1//3) . 9^(1//18) . 27^(1//81) …. ∞

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  19. The sum of n terms of the series 1+(1+3)+(1+3+5)+ . . ., is

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  20. The sum of n terms of the series 1^2 + (1^2 + 3^2) + (1^2 + 3^2 + 5...

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