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The AM of two given positive numbers is ...

The AM of two given positive numbers is 2. If the larger number is increased by 1, the GM of the numbers becomes equal to the AM to the given numbers. Then, the HM of the given numbers is

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CENGAGE PUBLICATION-SEQUENCES AND SERIES-All Questions
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  2. If the A.M. between two numbers exceeds their G.M. by 2 and the GM. ...

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  3. The AM of two given positive numbers is 2. If the larger number is inc...

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  4. Find the sum of the series 1+3x+5x^2+7x^3+..........upto n terms.

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  5. If (a-x)/(p x)=(a-y)/(q y)=(a-z)/(rz) and p ,q ,and r are in A.P., the...

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  6. Find the sum of n terms of the series 1+4/5+7/(5^2)+10/5^3+......

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  7. Find the sum (1^2)/2-(3^2)/(2^2)+(5^2)/(2^3)-(7^2)/(2^4)+....oodot

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  8. If H is the harmonic mean between P and Q then find the value of H//P+...

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  9. If Tr=r(r^2-1), then find sum(r=2)^oo1/Trdot

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  10. Insert four H.M.’s between 2/3 and 2/13.

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  11. If a , b ,a n dc are respectively, the pth, qth , and rth terms of a G...

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  12. The A.M. and H.M. between two numbers are 27 and 12, respectively, t...

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  13. If a ,a1, a2, a3, a(2n),b are in A.P. and a ,g1,g2,g3, ,g(2n),b . are...

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  14. If nine arithmetic means and nine harmonic means are inserted between ...

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  15. If x ,1,a n dz are in A.P. and x ,2,a n dz are in G.P., then prove tha...

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  16. Find two numbers whose arithmetic mean is 34 and the geometric mean is...

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  17. If a,b,c ,d and p are distinct real number such that (a^2+b^2+c^2)p^2-...

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  18. If A.M. and G.M. between two numbers is in the ratio m : n then prove...

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  19. Prove that (666....6)^2+(888....8)=4444.....4.

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