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If Sn the sum of first n terms of an AP ...

If `S_n` the sum of first n terms of an AP is given by `S_n =3n^2-4n`, find the nth term.

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AGRAWAL PUBLICATION-ARITHMETIC PROGRESSIONS-EXAMPLE
  1. Two AP's have the same common difference.The first term of one AP is 2...

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  2. Which term of the AP 3,15,27, 39,…. Will be 120 more than its 21st ter...

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  3. If Sn the sum of first n terms of an AP is given by Sn =3n^2-4n, find ...

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  4. Find the sum of first 8 multiples of 3.

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  5. If seven times the 7^(th) term of an A.P is equal to eleven times the ...

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  6. The 10^(th) term of an A.P is -4 and its 22^(nd) term is (-16) . Find ...

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  7. Find how many integers between 200 and 500 are divisible by 8.

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  8. Determine the AP whose third term is 5 and the seventh term is 9.

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  9. If the sum of the first 9 terms of an AP is equal to the sum of its fi...

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  10. Find the number of natural numbers between 102 and 998 whixh are divis...

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  11. For what value of n, are the n^(th) terms of two A.Ps 63,65,67… and 3,...

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  12. The common difference between the terms of two AP's is same. If the di...

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  13. In an AP, if Sn + S7 =167 and S(10) =235, then find th AP, where Sn de...

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  14. The 4^(th) erm of an AP. Is zero. Prove that the 25th term of the A.P ...

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  15. For an AP,it is given that the first term (a) = 5, common difference (...

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  16. If 6 times the 6^(th) term of an AP. Is equal to 9 times the 9^(th) te...

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  17. Find the sum of all 11 terms of an A.P. whose middles term is 30.

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  18. Find the sum first 15 multiples of 8.

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  19. Two AP's have the same common difference.The diference their between t...

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  20. Justify whether it is true to say that the following are the n^(th) te...

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