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

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

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To find which term of the geometric progression (G.P.) \( \frac{1}{3}, \frac{1}{9}, \frac{1}{27}, \ldots \) is equal to \( \frac{1}{19683} \), we can follow these steps: ### Step 1: Identify the first term and the common ratio The first term \( a \) of the G.P. is: \[ a = \frac{1}{3} \] To find the common ratio \( r \), we can divide the second term by the first term: ...
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RD SHARMA-GEOMETRIC PROGRESSIONS-Solved Examples And Exercises
  1. Which term of the G.P.: 2,\ 2\ sqrt(2),\ 4,\ doti s\ 128 ?

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

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

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

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

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

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

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

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

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

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

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  12. 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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  13. the sum of three numbers in G.P. is 56. If we subtract 1,7,21 from the...

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

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

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

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

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

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

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  20. Find three numbers in G.P. whose product is 729 and the sum of their ...

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