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Show that the products of the correspond...

Show that the products of the corresponding terms of the sequences a, ar, `ar^2`,...`ar^(n-1)` and A, AR, `AR^2`,....`AR^(n-1)` form a G.P, and find the common ratio.

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PSEB-SEQUENCES AND SERIES-EXERCISE
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  2. Find the sum of the products of the corresponding terms of the sequenc...

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

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  4. Find four numbers forming a geometric progression in which the third t...

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  5. If the p^(th), q^(th) and r^(th) terms of a G.P. are a, b and c, respe...

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  6. If the first and the nth term of a G.P. are a and b. respectively, and...

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

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  8. 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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  9. Insert two numbers between 3 and 81 so that the resulting sequence is ...

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

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

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

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

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

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

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

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

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

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

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