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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 (2n)th term is `1/r^n`.

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PSEB-SEQUENCES AND SERIES-EXERCISE
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  2. If the first and the nth term of a G.P. are a and b. respectively, and...

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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^...

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  5. Insert two numbers between 3 and 81 so 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 ge...

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

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

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  12. Find the sum to n terms of the series given below:- 1xx2 + 2xx3 + 3xx4...

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  13. Find the sum to n terms of the series given below:- 1xx2xx3 + 2xx3xx4 ...

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  14. Find the sum to n terms of the series given below:- 3xx1^2+5xx2^2+7xx3...

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  15. Find the sum to n terms of the series given below:- 1/(1xx2)+1/(2xx3)+...

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  16. Find the sum to n terms of the series given below:- 5^2 + 6^2 + 7^2 + ...

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  17. Find the sum to n terms of the series given below whose nth terms is g...

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  18. Find the sum to n terms of the series given below whose nth terms is g...

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  19. Find the sum to n terms of the series given below whose nth terms is g...

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  20. Show that the sum of (m+n)^(th) and (m -n)^(th) terms of an A.P. is eq...

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