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The sequence a(n) is defined by : a(n) =...

The sequence a(n) is defined by : a(n) =(n-1)(n- 2) (n -3). Show that the first three terms of the sequence are zero, but the rest of the terms are positive.

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MODERN PUBLICATION-SEQUENCES AND SERIES-EXERCISE
  1. Write the first six terms of following sequence : a1=1//2,a2=-1, a(n...

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  2. Write the first six terms of following sequence : a1= a2=2, an= a(n-...

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  3. The sequence a(n) is defined by : a(n) =(n-1)(n- 2) (n -3). Show that ...

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  4. The Fibonacci sequence is defined by 1 = a1= a2 and an=a(n-1)+a(n-2), ...

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  5. Find the 21st and 42nd terms of the sequence defined by : tn= {(0,if ...

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  6. Find the 18th and 25th terms of the sequence defined by : tn= {(n(n+...

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  7. Find the 440th and 441 st terms of the sequence given by : tn= {(n/(n...

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  8. A sequence of numbers a0,a1,a2,a3, ........ satisfies the relation an^...

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  9. Consider the sequence defined by tn= an^2 + bn + c. If t2=3, t4=13 and...

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  10. Find 'd' and write the next four terms of the following A.P.' s : 0,...

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  11. Find 'd' and write the next four terms of the following A.P.' s : 1/...

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  12. Find 'd' and write the next four terms of the following A.P.' s : -1...

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  13. Find 'd' and write the next four terms of the following A.P.' s : x+...

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  14. Find 'd' and write the next four terms of the following A.P.' s : 2...

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  15. Find the general term of the A.P. given by : x+b, x + 3b, x + 5b,........

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  16. Find the indicated term(s) of the following A.P.' s : -1,-2-3,-4, ....

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  17. Find the indicated term(s) of the following A.P.' s : n-1, n-2, n-3...

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  18. Find the indicated term(s) of the following A.P.' s : a=3 ,d=2, a10...

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  19. Find the indicated term(s) of the following A.P.' s : a= 1/5, d= 2/...

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  20. Find the 20th, 25 th and nth term of the A.P. given by : 21,16,11,6,1,...

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