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Show that the products of the corresponding terms of the sequences `a ,\ a r ,\ a r^2,ddot,\ a r^(n-1)\ a n d\ A ,\ A R ,\ A R^2,\ ,\ A R^(n-1)\ ` form a G.P. and find the common ratio.

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RD SHARMA ENGLISH-GEOMETRIC PROGRESSIONS-All Questions
  1. A manufacturer reckons that the value of a machine, which costs him Rs...

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  2. If the first and the nth terms of a G.P., are a and b respectively, a...

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  3. Show that the products of the corresponding terms of the sequences a ,...

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  4. If p^(t h),\ q^(t h),\ r^(t h)a n d\ s^(t h) terms of an A.P. are in G...

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

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

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

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

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

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

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

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  12. Find: the 8th term of the G.P. 0. 3 , 0.06 , 0.012 ,

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

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

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

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

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

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

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

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

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