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If a ,\ b ,\ c ,\ d\ a n d\ p are differ...

If `a ,\ b ,\ c ,\ d\ a n d\ p` are different real numbers such that: `(a^2+b^2+c^2)p^(2)-2(a b+b c+c d)p+(b^2+c^2+d^2)lt=0` , then show that `a ,\ b ,\ c` and `d` are in G.P.

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RD SHARMA ENGLISH-GEOMETRIC PROGRESSIONS-All Questions
  1. The 4th term of a G.P. is square of its second term and the first t...

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  2. In a GP the 3rd term is 24 and the 6th term is 192. Find the 10th t...

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  3. If a ,\ b ,\ c ,\ d\ a n d\ p are different real numbers such that: (a...

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  4. If (a+b x)/(a-b x)=(b+c x)/(b-c x)=(c+dx)/(c-dx)(x!=0) , then show tha...

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  5. the sum of three numbers in G.P. is 56. If we subtract 1,7,21 from the...

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  6. Find three numbers in G.P. whose sum is 65 and whose product is 3375.

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  7. If the sum of three numbers in G.P. is 38 and their product is 1728, ...

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  8. The sum of first three terms of a G.P. is 13/12 and their product is ...

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  9. The product of the three numbers in G.P. is 125 and sum of their pr...

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  10. The sum of first three terms of a G.P. is (39)/(10) and their product ...

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  11. The sum of three numbers in G.P. is 14. If the first two terms are eac...

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  12. Find three numbers in G.P. whose product is 729 and the sum of their ...

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  13. The sum of three numbers in G.P. is 21 and the sum of their squares is...

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  14. Find the sum of 7 terms of the G.P. 3,6,12…

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  15. Find the sum of 7 terms of the sequence (1/5+2/(5^2)+3/(5^3)),\ (1/(5^...

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  16. Find the sum of the series 2+6+18++4374

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  17. The sum of first three terms of a G.P is 16 and the sum of the next th...

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  18. Find a G.P. for which sum of the first two terms is -" "4 and the f...

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  19. The sum of some terms of a G.P. is 315 whose first term and the common...

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  20. Find the sum of the products of the corresponding terms of the sequ...

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