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Find the 960^(th) and 961^(th) terms of ...

Find the `960^(th)` and `961^(th)` terms of the sequence given by:
`t_(n)={(n/(n/96-1), "if n is not the square of a natural number"),(6 1/2, "if n is the square of a natural number"):}`

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The correct Answer is:
`6 1/2`
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MODERN PUBLICATION-SEQUENCES AND SERIES-ILLUSTRATIVE EXAMPLES
  1. Let the sequence be defined as follow: a(1)=3 a(n)=3a(n-1)+2, for ...

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  2. Find as indicated in each case: (i) t(1)=1,t(n)=2t(n-1),(ngt 1),t(6)...

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  3. Find the 960^(th) and 961^(th) terms of the sequence given by: t(n)=...

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  4. Let a (n) be the finite sequence with 9 terms a (1),a(2), ……………….., a(...

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  5. Which term in the A.P. 5,2,-1,… is -22 ?

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  6. Which term of the sequence, 4, 3 5/7, 3 3/7 …………. Is the first negativ...

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  7. Which term of the sequence: 16-6i, 15-4i,14-2i………. Is pure imaginary?

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  8. Show that there is no A.P. which consists of only distinct prime nu...

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  9. The sum of first 12 terms of a G.P. is five times the sum of the first...

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  10. If 7 times the 7th term of an AP is equal to 11 times its 11th term, s...

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  11. Find the number of terms common to the two AP's 3,7,11,15.... 407 and...

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  12. If the pth, qth and rt terms of an A.P. be x,y,z respectively show tha...

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  13. Insert three numbers between 1 and 256 so that the resulting sequen...

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  14. The arithmetic mean between two numbers is 10 and their geometric mean...

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  15. The A.M. between two distinct positive numbers is twice the G.M. betwe...

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  16. If one geometric mean G and two arithmetic means A1a n dA2 be inserted...

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  17. Find all sequences which are simultaneously A.P. and G.P.

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  18. The sum of first three terms of a G.P. is (13)/(12)and their product ...

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  19. The product of first three terms of a G.P. is 1000. If 6 added to its ...

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  20. If p,q,r are in A.P. while x,y,z are in G.P., prove that x^(q-r)y^(r-p...

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