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

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

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KALYANI PUBLICATION-PROGRESSION-EXERCISE
  1. Determine four numbers between 7 and 4 such that these six numbers are...

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

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

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  4. 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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  5. 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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  6. There are n A.M.'s between 5 and 35. If second mean : last mean = 1 ...

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

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

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

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  10. If a1, a2, a3…..an are in AP, then prove that frac(1)(a1 a2)+frac(1)(a...

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  11. Find the sum of the following series up to the specified term 1 + ...

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  12. Find the sum of the following AP up to the specified term 2 + 6 + ...

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  13. Find the sum of the following AP up to the specified term 20+ 18+ ...

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  14. Find the sum of the following AP is up to the specified term 4+7+1...

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  15. Find the sum of the following AP up to the specified term 1/2+1/3+...

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  16. Find the sum of the following series up to the specified term sqrt...

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  17. Find the sum of the following series up to the specified term -8-3...

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  18. Find the sum of the following series up to the specified term (x^2...

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  19. Find the sum of the following series up to the specified term (x-...

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  20. Find the sum of the following series up to the specified term n/n+...

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