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Find the value of n so that (a^(n+1)+ b^...

Find the value of n so that `(a^(n+1)+ b^(n+1))/(a^n+b^n)` may be the geometric mean between a and b.

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PSEB-SEQUENCES AND SERIES-EXERCISE
  1. 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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  2. Insert two numbers between 3 and 81 so that the resulting sequence is ...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  18. If the sum of three numbers in A.P., is 24 and their product is 440, f...

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  19. Let the sum of n, 2n, 3n terms of an A.P. be S1, S2 and S3, respective...

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  20. Find the sum of all numbers between 200 and 400 which are divisible by...

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