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If the fourth Power of the common differ...

If the fourth Power of the common difference of an A.P. with integer entries is added to the product of any four consecutive terms of it, prove that the resulting Sum is the square of an integer.

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MODERN PUBLICATION-SEQUENCES AND SERIES-EXERCISE
  1. If the fourth Power of the common difference of an A.P. with integer ...

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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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