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Which term of the G.P.: \ sqrt(3),3,3sqr...

Which term of the G.P.: `\ sqrt(3),3,3sqrt(3), i s\ 729 ?`

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Given, `a=sqrt(3 )`​ `,r=3/sqrt(3 )=sqrt(3 )`​
`a_n=729`
we know that
...
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RD SHARMA-GEOMETRIC PROGRESSIONS-Solved Examples And Exercises
  1. Which term of the G.P.: sqrt(2),1/(sqrt(2)),1/(2sqrt(2)),1/(4sqrt(2)),...

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  2. Which term of the G.P.: 2,\ 2\ sqrt(2),\ 4,\ doti s\ 128 ?

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  3. Which term of the G.P.: \ sqrt(3),3,3sqrt(3), i s\ 729 ?

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  4. Which term of the G.P.: 1/3,1/9,1/(27) i s1/(19683)?

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  5. Find the 4th term from the end of the G.P. 1/2,1/6,1/(18),1/(54), ,1/...

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  6. The fourth term of a G.P. is 27 and the 7th term is 729, find the G....

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  7. The 7th term of a G.P. is 8 times the 4th term and the 5th term is 4...

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  8. If the G.Ps 5 , 10, 20, and 1280, 640, 320 have their nth terms equ...

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

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  10. The 4th term of a G.P. is square of its second term and the first t...

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  11. In a GP the 3rd term is 24 and the 6th term is 192. Find the 10th t...

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  12. If a ,\ b ,\ c ,\ d\ a n d\ p are different real numbers such that: (a...

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  13. If (a+b x)/(a-b x)=(b+c x)/(b-c x)=(c+dx)/(c-dx)(x!=0) , then show tha...

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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. Find three numbers in G.P. whose sum is 65 and whose product is 3375.

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  16. If the sum of three numbers in G.P. is 38 and their product is 1728, ...

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  17. The sum of first three terms of a G.P. is 13/12 and their product is ...

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  18. The product of the three numbers in G.P. is 125 and sum of their pr...

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  19. The sum of first three terms of a G.P. is (39)/(10) and their product ...

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  20. The sum of three numbers in G.P. is 14. If the first two terms are eac...

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