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For what values of x, the numbers -2/7,x...

For what values of x, the numbers `-2/7`,x, `-7/2` are in G.P.?

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MODERN PUBLICATION-SEQUENCES AND SERIES-EXERCISE
  1. Which term of the following sequence:- sqrt3,3,3sqrt3,....is 729?

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  2. Which term of the following sequence:- 1/3,1/9,1/27,.....is 1/19683 ?

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  3. For what values of x, the numbers -2/7,x, -7/2 are in G.P.?

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  4. In a G.P., the third term is 24 and the 6th term is 192. Find the 10th...

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  5. In a G.P., the third term is 24 and the 6th term is 192. Find the 8th ...

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  6. Find the 12th term of a G.P. whose 8th term is 192 and the common rati...

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  7. The first term of a G.P. is 1. The sum of the third term and fifth ter...

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  8. The 4th term of a G.P. is square of its second term, and the first ter...

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  9. The 4th term of a G.P. is square of second term and first term is -3. ...

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  10. The 4th, 7th and 10th terms of a GP. are a, b, c respectively. Show th...

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  11. The 5th, 8th and 11th terms of a G.P. are p, q and x, respectively. Sh...

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

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  13. If agt0,bgt0,cgt0 be respectively the pth, qth and rth terms of a G.P....

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  14. If pth term of a G.P. is P and its qth term is Q, prove that the nth t...

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  15. The terms of a G.P. with first term ‘a’ and common ratio ‘r’ are squar...

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  16. If the first and the nth terms of a GP are a and b respectively and if...

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  17. If x, y, z are three positive numbers forming a geometric sequence, th...

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  18. The (m+n)th and (m-n)th terms of a GP are p and q, respectively. Then,...

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  19. If a,b,c are in A.P. and x,y,z are in G.P., then show that x^(b-c).y(c...

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  20. Evaluate sum(k=1)^11(2+ 3^k).

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