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If `a_1, a_2`, ............, `a_n` are in A.P. and `a_i >0` for all i , prove that : `1/(sqrt a_1+sqrt a_2)+1/(sqrt a_2+sqrt a_3)+.............+ 1/(sqrt (a_(n-1))+sqrt a_n)= (n-1)/(sqrt a_1+sqrt a_n)` .

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MODERN PUBLICATION-SEQUENCES AND SERIES-EXERCISE
  1. If a1, a2, ............, an are in A.P. and ai >0 for all i , prove th...

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  2. Write the first three terms of the sequence defined by the following :...

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  3. Write the first five terms of the sequences given below whose nth term...

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  4. Write the first five terms of the following functions whose nth terms ...

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  5. Write the first four terms of the following sequence whose nth terms a...

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  6. Write the first four terms of the following sequence whose nth terms a...

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  7. Write the first four terms of the following sequence whose nth terms a...

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  8. Write the first four terms of the following sequence whose nth terms a...

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  9. Write the first four terms of the following sequence whose nth terms a...

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  10. Write the first five terms of the following sequence whose nth terms a...

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  11. Write the first five terms of the following sequence whose nth terms a...

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  12. Write the first five terms of the following sequence whose nth terms a...

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  13. Write the first five terms of the sequences given below whose nth term...

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  14. Write the first five terms of the sequences given below whose nth term...

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  15. What is the 19th term of the sequence : a(n) = (n(n-2))/(n+3)?

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  16. Find the term indicated in the following case : t(n)=4^(n)+n^(2)-n+1...

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  17. Find the term indicated in the following case : h(n)=n^(2)-3n+4, h(1...

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  18. Find the term indicated in the following case : an= n^2/2^n , a7.

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  19. Find the term indicated in the following case : an= (-1)^(n-1) n^3 ,...

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  20. Find the term indicated in the following case : an= (n(n-2))/(n-3), ...

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  21. Find the first five terms of the sequence and write corresponding seri...

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