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Consider the sequence defined by tn= an^...

Consider the sequence defined by `t_n= an^2 + bn + c`. If `t_2=3, t_4=13` and `t_7=113`, show that `3t_n= 17n^2-87n +115`.

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MODERN PUBLICATION-SEQUENCES AND SERIES-EXERCISE
  1. Find the 440th and 441 st terms of the sequence given by : tn= {(n/(n...

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

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

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

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

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

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

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

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

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

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

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

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

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

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  15. Is 310 a term of the A.P. 3,8, 13, 18,............. ?

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  16. Which term in the A.P. 68, 64 60, .... is - 8 ?

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  17. Which term in the A.P. 1, 6, 11, 16,..... is 301 ?

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  18. Determine the number of terms in the A.P. 17, 14 1/2, 12,........, -3...

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  19. Determine k so that k+2, 4k-6 and 3k-2 are three consecutive terms of...

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  20. Determine k so that : 8k + 4, 6k-2, 2k-7, are the three consecutive te...

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