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If a,b,c,d are in G.P show that each of ...

If a,b,c,d are in G.P show that each of the following three term are also in G.P `(a-b)^2,(b-c)^2,(c-d)^2`.

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If a,b,c,d are in G.P show that each of the following three term are also in G.P a^2+b^2+c^2,ab+bc+cd,b^2+c^2+d^2 .

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KALYANI PUBLICATION-PROGRESSION-EXERCISE
  1. If a,b,c,d are in G.P show that each of the following three term are a...

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  2. If a, b, c, d are in G.P., show that each of the following three term ...

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  3. If a,b,c,d are in G.P show that each of the following three term are a...

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  4. If a,b,c,d are in G.P show that each of the following three term are a...

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  5. Insert three G.M.’s between 1 and 256.

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  6. Insert five G.M.'s between 8 and 1/8.

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  7. Insert five G.M.’s between 3 and 192.

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  8. Insert four G.M.'s between 7/4 and 56.

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  9. If 1/2 , x, y, z, 128 are in G.P., then find x,y,z,

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  10. Inserting three G.M.'s between 1/9 and 9 verify that their product is ...

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  11. The A.M. and G.M. of two positive numbers are 25 and 24 respectively. ...

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  12. The A.M. and G.M. of two positive numbers are 15 and 9 respectively...

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  13. The A.M. of two integral numbers exceeds their G.M. by 2 and the ratio...

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  14. The sum of two positive numbers is 13 and their G.M. is 6. Find them.

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  15. The difference of two positive numbers is 64 and the difference of the...

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  16. The sum of A.M. and G.M. of two positive numbers is 32 and the ratio...

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  17. The sum of A.M. and G.M. of two positive numbers is 96 and the ratio...

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  18. The A.M. of two positive numbers is 26. If the sum of the two numbers ...

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  19. The ratio of A.M. and G.M. of two positive numbers is 5:4. If the diff...

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  20. The difference between the arithmetic mean and geometric mean of two p...

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