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If the sum of the first n terms of an Ar...

If the sum of the first n terms of an Arithmetic progression is `S_n=nX+1/2n(n-1)Y` where X and Y are constants, find the first term and common difference.

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MAXIMUM PUBLICATION-SEQUENCE AND SERIES-EXAMPLE
  1. Find the sum to 'n' terms of the series 3xx8+6xx11+9xx14+…....

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  2. If the sum of the first n terms of an Arithmetic progression is Sn=nX+...

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  3. If the sum of the first n terms of an Arithmetic progression is Sn=nX+...

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  4. If the sum of the first n terms of an Arithmetic progression is Sn=nX+...

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  5. Find the sum to n terms of the series, 2^2+ 5^2+8^2+……..

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  6. Write the first four terms of the sequence whose nth term an=n/(n+1)

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  7. The sum of first three terms of a Geometric Progression is 13/12 and t...

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  8. If the numbers 5/2,x,5/8 are three consecutive terms of a GP, then fin...

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  9. Find the sum of the first n-terms of the series. 2+22+222+…..

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  10. Find the 5^th term of the sequence whose nth term is an=(n(n-2))/(n+3)

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  11. Write the sum of first n natural numbers.

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  12. The 5^th, 8^th and 11^th terms of a GP are p, q and s respectively. Pr...

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  13. A man starts repaying a loan as first instalment of Rs. 1,000. If he ...

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  14. Find the sum to n terms of the sequence 7,77,777,7777,…….

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  15. Consider the AP 4,10,16,22,…… Find its common difference and the 7^th ...

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  16. If the m^th terms of an AP is 1/n and the n^th term is 1/m, prove that...

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  17. The 6^th term of the sequence whose n^th term is tn=(2n-3)/6 is ………………...

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  18. Find the sum to infinity of the sequence 1,1/3,1/9,………

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  19. If a, b, c are in AP and a^(1/x)=b^(1/y)=c^(1/z) prove that x, y, z ar...

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  20. In an AP, the first term is 2 and the sum of the first five terms is ...

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