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If the pth, qth, rth, and sth terms of an A.P. are in G.P., t hen `p-q ,q-r ,r-s` are in a. A.P. b. G.P. c. H.P. d. none of these

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If the pth, qth, rth, and sth terms of an A.P. are in G.P., then p-q ,q-r ,r-s are in a. A.P. b. G.P. c. H.P. d. none of these

If pth, qth , rth and sth terms of an AP are in GP then show that (p-q), (q-r), (r-s) are also in GP

If a ,b ,c are in A.P., the a/(b c),1/c ,1/b will be in a. A.P b. G.P. c. H.P. d. none of these

If a^2+b^2,a b+b c and b^2+c^2 are in G.P., then a ,b ,c are in a. A.P. b. G.P. c. H.P. d. none of these

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.P. b. G.P. c. H.P. d. none of these

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.P. b. G.P. c. H.P. d. none of these

If the pth ,qth and rth terms of an AP are in G.P then the common ration of the GP is

If the pth, qth and rth terms of an A. P. are in G.P., prove that the common ratio of the G.P. is (q-r)/(p-q) .

If p^(t h),\ q^(t h),\ r^(t h)a n d\ s^(t h) terms of an A.P. are in G.P., then show that (p-q),\ (q-r),\ (r-s) are also in G.P.

If p ,q ,a n dr are in A.P., then which of the following is/are true? pth, qth, and rth terms of A.P. are in A.P. pth, qth, rth terms of G.P. are in G.P. pth, qth, rth terms of H.P., are in H.P. none of these

RD SHARMA ENGLISH-GEOMETRIC PROGRESSIONS-All Questions
  1. If the 4th, 10th and 16th terms of a G.P. are x, y, and z  respect...

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  2. 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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  3. If the pth, qth, rth, and sth terms of an A.P. are in G.P., t hen p-q ...

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  4. If a ,\ b ,\ c are in A.P. b ,\ c ,\ d are in G.P. and 1/c ,1/d ,1/e a...

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  5. 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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  6. If p^(t h),\ q^(t h),\ a n d\ r^(t h) terms of an A.P. and G.P. are bo...

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  7. Find two numbers whose arithmetic mean is 34 and the geometric mean is...

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  8. If A.M. and G.M. between two numbers is in the ratio m : n then prove...

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  9. a,b,c are positive real numbers forming a G.P. ILf ax^2+2bx+c=0and ...

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  10. Q. If a, b,c and d are distinct positive no. in AP. then (A) ad lt ...

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  11. Insert 6 geometric means between 27 and 1/(81)dot

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  12. Insert 5 geometric means between 16 and 1/4dot

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  13. Insert 5 geometric means between (32)/9a n d(81)/2dot

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  14. Find the geometric means of the following pairs of number: 2 and 8.

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  15. Find the geometric means of the following pairs of number: a^3b\ a n d...

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  16. Find the geometric means of the following pairs of number: -8\ a n d-2...

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  17. If a is the G.M. of 2\ a n d1/4, find adot

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  18. Find the two numbers whose A.M. is 25 and GM is 20.

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  19. If A and G are respectively arithmetic and geometric mean between posi...

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  20. The sum of two numbers is 6 times their geometric means, show that nu...

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