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If a, b, c are in A.P. then show that th...

If a, b, c are in A.P. then show that the terms given below are also in A.P.
`a^2(b+c),b^2(c+a),c^2(a+b),{ab+bc+cane0}`.

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KALYANI PUBLICATION-PROGRESSION-EXERCISE
  1. If a, b, c are in A.P. then show that the terms given below are also i...

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  2. If a, b, c are in A.P. then show that the terms given below are also i...

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  3. If a, b, c are in A.P. then show that the terms given below are also i...

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  4. If a^2,b^2,c^2 are in A.P., then the terms given below are also in A.P...

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  5. If a^2,b^2,c^2 are in A.P., then the terms given below are also in A.P...

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  6. If 1/a,1/b,1/c are in A.P. then (b+c)/a,(c+a)/b,(a+b)/c are also in A....

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  7. If 1/(a+b),1/(b+c),1/(c+a) are in A.P., then c^2,a^2,b^2are in A.P.

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  8. Insert three arithmetic mean between 2 and 14.

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  9. Insert three A.M.'s between 3 1/4 and 1 1/4.

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  10. Insert seven A.M.’s between 1 and 41.

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  11. Insert five A.M.'s between 1.2 and 8.4.

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  12. Determine four numbers between 7 and 4 such that these six numbers are...

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  13. Determine three quantities between x and 9x+ 4 such that these five nu...

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  14. Determine p A.M.’s between 1 and p^2.

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  15. If (a^n+b^n)/(a^(n-1)+b^(n-1)) is the A.M. of a and b, then find n.

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  16. If (a^(n+1)+b^(n+1))/(a^n+b^n) is the A.M. of a and b, then find n.

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  17. There are n A.M.'s between 5 and 35. If second mean : last mean = 1 ...

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  18. There are n A.M.'s between 1 and 51 and fourth mean : seventh mean =...

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  19. There are p A.M.'s between 5 and 41 and third mean : (p-1)th mean = 2 ...

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  20. The product of two numbers is 16. The product of two A.M.’s between th...

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