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Find 'r' and write the next four terms o...

Find 'r' and write the next four terms of the following progressions :
`-2/3`, -6, -54,........

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MODERN PUBLICATION-SEQUENCES AND SERIES-EXERCISE
  1. If a(1/b +1/c) , b(1/c +1/a), c(1/a + 1/b) are in A.P. Prove that a,b,...

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  2. Find 'r' and write the fourth term of the following progressions : ...

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  3. Find 'r' and write the next four terms of the following progressions :...

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  4. Find the 20th and nth terms of the G.P. 5/2,5/4,5/8,.....

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  5. Find the indicated term(s) of the following G.P.'s : 12, 8, 16/3, ……...

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  6. Which term of the geometric sequences : 2, 8, 32, is 131072 ?

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  7. Which term of the following sequence:- sqrt3,3,3sqrt3,....is 729?

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

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

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

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

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

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

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

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

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

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

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

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

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

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