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Show that each of one of the following p...

Show that each of one of the following progression is a G.P. Also, find the common ratio in each case: `1//2,\ 1//3,\ 2//9,\ 4//27 dot`

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Let a = 1/2, b = 1/3, c = 2/9
In GP, `b2 = ac`
`(1/3)^2 = 1/2 xx (2/9) `
`1/9 = 1/9 `
So, the Common ratio = r = `(1/3)/(1/2) = (1/3) xx 2 = 2/3`
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RD SHARMA-GEOMETRIC PROGRESSIONS-Solved Examples And Exercises
  1. Show that each of one of the following progression is a G.P. Also, fin...

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  2. Show that each of one of the following progression is a G.P. Also, ...

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  3. Show that each of one of the following progression is a G.P. Also, ...

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  4. Show that the sequence defined by an=2/(3^n),\ n in N\ is a G.P.

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  5. Find: the ninth term of the G.P. 1,4,16,64,………

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  6. Find: the 10th term of the G.P. -3/4,1/2,-1/3,2/9, dot

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  7. Find: the 8th term of the G.P. 0. 03 , 0.06 , 0.012 ,

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

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

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

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

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

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

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

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

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

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

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

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

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

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