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The A.M. and H.M. between two numbers ar...

The A.M. and H.M. between two numbers are 27 and 122, respectively, then find their G.M.

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The A.M. and H.M. between two numbers are 27 and 12, respectively, then find their G.M.

If the A.M. and G.M. between two numbers are respectively 17 and 8, find the numbers.

The H.C.F. and L.C.M. of two numbers are 9 and 270 respectively. If one of the numbers is 45, find the other number.

The L.C.M. and H.C.F. of two numbers are 180 and 6 respectively. If one of the numbers is 30, find the other number.

The H.C.F. and L.C.M. of two numbers are 6 and 840 respectively. If one of the number is 42, find the other number.

If the ratio of H.M. and G.M. between two numbers a and b is 4:5 , then find the ratio of the two number ?

If A.M. and GM. of two positive numbers a and b are 10 and 8, respectively find the numbers.

If the A.M. and G.M. between two numbers are in the ratio x:y , then prove that the numbers are in the ratio (x+sqrt(x^(2)-y^(2))):(x-sqrt(x^(2)-y^(2))) .

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If A.M. and GM. of roots of a quadratic equation are 8 and 5, respectively, then obtain the quadratic equation.

CENGAGE ENGLISH-SEQUENCES AND SERIES-All Questions
  1. Insert four H.M.’s between 2/3 and 2/13.

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

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  3. The A.M. and H.M. between two numbers are 27 and 122, respectively, ...

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  4. 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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  5. If nine arithmetic means and nine harmonic means are inserted between ...

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

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  8. If a ,b ,c ,da n dp are distinct real numbers such that (a^2+b^2+c^2)p...

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

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

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  11. If a is the A.M. of b and c and the two geometric mean are G1 and ...

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  12. If a ,b ,c ,d are distinct integers in an A.P. such that d=a^2+b^2+c^2...

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  13. The 8th and 14th term of a H.P. are 1/2 and 1/3, respectively. Find it...

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  14. Find the number of common terms to the two sequences 17,21,25,...,417 ...

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  15. If the 20th term of a H.P. is 1 and the 30th  term is -1/17, then find...

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  16. Find the sum 3/2-5/6+7/(18)-9/(54)+...oodot

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  17. If a ,b ,ca n dd are in H.P., then prove that (b+c+d)//a ,(c+d+a)//b ,...

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  18. The harmonic mean between two numbers is 21/5, their A.M. ' A ' and G....

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  19. The mth term of a H.P is n and the nth term is m . Proves that its rth...

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  20. The pth term of an A.P. is a and qth term is bdot Then find the sum o...

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