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If a,b,c are in G.P and a^(1/x)=b^(1/y)=...

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

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KALYANI PUBLICATION-PROGRESSION-EXERCISE
  1. If a, b, c are in A.P. and a, b, c + 1 are in G.P. then prove that 4a=...

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  2. If x,y,z are in G.P and p,q,r are in A.P then prove that x^(q-r) y^(r-...

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

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  4. If x, y, z,w in are in G.P., prove that (xy-wz)/(y^2-z^2)=(x+z)/y.

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  5. The pth, qth and rth term of a G.P. are x, y, z respectively, then pro...

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  6. If pth, qth and rth term of a G.P. are in G.P. then prove that p, q, r...

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  7. If pth, qth and rth term of an A.P. are in G.P., then show that common...

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  8. If a, b, c be the pth, qth and rth term of both an A.P. and G.P., then...

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  9. If a, b, c, d are in G.P., show that each of the following three term ...

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  10. If a,b,c,d are in G.P show that each of the following three term are a...

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  11. If a,b,c,d are in G.P show that each of the following three term are a...

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  12. If a,b,c,d are in G.P show that each of the following three term are a...

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  13. If a, b, c, d are in G.P., show that each of the following three term ...

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  14. If a,b,c,d are in G.P show that each of the following three term are a...

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  15. If a,b,c,d are in G.P show that each of the following three term are a...

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  16. Insert three G.M.’s between 1 and 256.

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  17. Insert five G.M.'s between 8 and 1/8.

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  18. Insert five G.M.’s between 3 and 192.

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  19. Insert four G.M.'s between 7/4 and 56.

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  20. If 1/2 , x, y, z, 128 are in G.P., then find x,y,z,

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