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Three numbers whose sum is 15 are in A.P...

Three numbers whose sum is 15 are in A.P. If they are added by 1,4 and 19 respectively, they are in GP. The numbers are

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RD SHARMA ENGLISH-GEOMETRIC PROGRESSIONS-All Questions
  1. Find an infinite G.P. whose first term is 1 and each term is the sum o...

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  2. Show that in an infinite G.P. with common ratio r(|r|<1) , each term b...

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  3. Three numbers whose sum is 15 are in A.P. If they are added by 1,4 and...

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  4. If a ,b ,c ,d are in G.P, then (b-c)^2+(c-a)^2+(d-b)^2 is equal to (a-...

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  5. If a ,\ b ,\ c ,\ d are in G.P., show that: (a b+b c+c d)^2=(a^2+b^2+c...

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  6. If a ,b ,c,d are in G.P. prove that (a^n+b^n),(b^n+c^n),(c^n+d^n) ar...

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  7. 29. If a,b,c are in G.P. and a^(1/x)=b^(1/y)=c^(1/z) prove that x, y, ...

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  8. If a^2+b^2,a b+b c ,a n db^2+c^2 are in G.P., then a ,b ,c are in a. A...

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  9. If a ,\ b ,\ c are in G.P. prove that loga ,\ logb ,\ logc are in A.P.

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  10. If a ,\ b ,\ c are in G.P. prove that 1/((log)a m),1/((log)b m),1/((lo...

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  11. Find k such that k+9,\ k-6 and 4 form three consecutive terms of a G.P...

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  12. Three numbers are in A.P. and their sum is 15. If 1,3,9 be added to ...

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  13. The sum of three numbers which are consecutive terms of an A.P. is 21....

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

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  15. If a ,\ b\ c are in G.P., prove that the following are also in G.P.: a...

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  16. If a ,\ b\ c are in G.P., prove that the following are also in G.P.: a...

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  17. If a, b, c are in G. P., prove that a^2+ b^2, ab + bc, b^2 +c^2 are al...

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  18. If (a-b),\ (b-c),(c-a) are in G.P. then prove that (a+b+c)^2=3(a b+b c...

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  19. If the 4th, 10th and 16th terms of a G.P. are x, y, and z  respect...

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  20. If a, b, c are in A.P and a, b, d are in G.P, prove that a, a -b, d ...

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