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If the `p t h ,\ q t h\ a n d\ r t h` terms of `a` G.P. are `a ,\ b ,\ c` respectively, prove that: `a^((q-r))dot^b^((r-p))dotc^((p-q))=1.`

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RD SHARMA ENGLISH-GEOMETRIC PROGRESSIONS-All Questions
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  2. If the third term of G.P.is 4, then find the product of first five ter...

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  3. If the p t h ,\ q t h\ a n d\ r t h terms of a G.P. are a ,\ b ,\ c re...

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  6. What will Rs. 500 amounts to in 10 years after its deposit in a bank w...

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

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

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

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

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

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

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

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

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

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

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

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

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