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Find: n th term of the G.P. sqrt(3),1/(s...

Find: `n` th term of the G.P. `sqrt(3),1/(sqrt(3)),1/(3sqrt(3)), `

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`a=sqrt(3)`
`​r=(1/(sqrt(3)))/sqrt(3)=1/3`
`t_n​=ar^(n−1)`
`=sqrt(3)(1/3​)^(n−1)`
`=sqrt(3)(1/3​)^n.(1/3​)^(−1)`
`=sqrt(3)(1/3​)^n(3)`
`t_n​=3sqrt(3)(1/3)^n`
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RD SHARMA-GEOMETRIC PROGRESSIONS-Solved Examples And Exercises
  1. Find: the 8th term of the G.P. 0. 03 , 0.06 , 0.012 ,

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  2. Find: the 12th term of the G.P. 1/(a^3x^3),\ a x ,\ a^5x^5,\ dot

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  3. Find: n th term of the G.P. sqrt(3),1/(sqrt(3)),1/(3sqrt(3)),

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  4. Find: the 10th term of the G.P. sqrt(2),1/(sqrt(2)),1/(2sqrt(2)),

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  5. Find the 4th term from the end of the G.P. 2/(27),2/9,2/3, ,, , , ,...

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  6. Which term of the progression 0.004,0.02,0.1,… is 12.5.?

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  7. Which term of the G.P.: sqrt(2),1/(sqrt(2)),1/(2sqrt(2)),1/(4sqrt(2)),...

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

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

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

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

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

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

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

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

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

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

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

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

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