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Show that the ratio of the sum of first ...

Show that the ratio of the sum of first n terms of a G. P to the sum of, terms from
`(n+1)^ (th) ` to. `(2 n)^(th)` term is `1/(r^n)`.

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V PUBLICATION-SEQUENCES AND SERIES-QUESTIONBANK
  1. If the p^th,q^th and r^th terms of a GP are a,b,c respectively, show t...

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  2. If the first and the n^( th) term of a .G. P are a and b, respectivel...

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  3. Show that the ratio of the sum of first n terms of a G. P to the sum o...

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  4. If a, b, c and d are in G . P, show that (a^2+b^2+c^2)(b^2+c^2+d^2)=(a...

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  5. Insert two numbers between 3 and 81 iso that the resulting sequence is...

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  6. Find the value of n so that (a^(n+1)+b^(n+1))/(a^n+b^n) may be the geo...

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  7. The sum of two numbers is 6 times their geometric mean, show that numb...

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  8. If A and G be A. M and G. M respectively between two positive numbers....

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  9. The number of bacteria in a certain culture doubles every hour. If the...

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

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  11. If A.M and G. M of roots of a quadratic equation are 8 and 5, respecti...

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  12. Find the sum to n terms of the series: 5+11+19+29+41.....

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  13. Find the sum of the first n terms of the series whose nth term is n(n+...

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  14. Find the sum to n terms of the series 1 xx 2+2 xx 3+3 xx 4+4 xx 5 dot...

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  15. Find the sum to n terms of the given series 1 xx 2+2 xx 3+3 xx 4+4 xx...

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  16. Find the sum to n terms of the series . 1 xx 2 xx 3+2 xx 3 xx 4+3 xx ...

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  17. Find the sum to n terms of the series 3xx1^2+5xx2^2+7xx3^2+……..

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  18. Find the sum to n terms of this series. 1/(1xx2)+1/(2xx3)+1/(3xx4)+....

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  19. Find the sum of the series . 5^2+6^2+7^2+. . ...20^2

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  20. Find the sum to 'n' terms of the series 3xx8+6xx11+9xx14+…....

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