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If the `p^(t h) and q^(t h)` terms of a G.P. are `q and p` respectively, show that `(p+q)^(t h)` term is `((q^p)/(p^q))^(1/(p-q))` .

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RD SHARMA ENGLISH-GEOMETRIC PROGRESSIONS-All Questions
  1. If a ,b ,c are three distinct real numbers in G.P. and a+b+c=x b , t...

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

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  3. If the p^(t h) and q^(t h) terms of a G.P. are q and p respectively, s...

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  4. In a finite G.P. the product of the terms equidistant from the begi...

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  5. The product of first three terms of a G.P. is 1000. If 6 added to its ...

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  6. Find three numbers in G.P. whose sum is 52 and the sum of whose pro...

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  7. Three numbers are in G.P. whose sum is 70. If the extremes be each ...

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  8. If the continued product of three numbers in G.P. is 216 and the sum o...

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  9. Find four numbers in G.P. whose sum is 85 and product is 4096.

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  10. Find the three numbers in G.P. , whose sum is 13 and the sum of whose ...

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  11. Find 4t h term from the end of the G.P. 3,6,12 ,24 , ... ,3072.

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  12. Which term of the G.P. 2,1,1/2,1/4,..... i s1/(128)?

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  13. Which term of the G.P. 5,10 ,20 ,40 , i s5120 ?

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  14. The fourth, seventh and the last term of a G.P. are 10 ,80a n d2560 re...

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  15. If a ,b ,c are respectively the p^(t h),q^(t h)a n dr^(t h) terms of a...

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  16. In a G.P. of positive terms if any terms is equal to the sum of next ...

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  17. The (m+n)th and (m-n)th terms of a G.P. are p and q respectively. Show...

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  18. If the p^(t h) ,q^(t h) and r^(t h) terms of a GP are a, b and c, r...

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  19. Find all sequences which are simultaneously A.P. and G.P.

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  20. Let S be the sum, P be the product and R be the sum of the reciproc...

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