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Find the sum of the first n odd numbers...

Find the sum of the first n odd numbers

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The formula of sum of an A.P series
`S = n/2[2a + (n − 1) × d]`
`S = n /2 [2 + 2n – 2]`
`S = n /2 [2n]`
`S = n^2`
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RD SHARMA-ARITHMETIC PROGRESSIONS-Solved Examples And Exercises
  1. If the sum of n terms of an A.P. is 2n^2+3n then write its nth term.

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  2. If the sums of n terms of two arithmetic progressions are in the ratio...

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  3. Find the sum of the first n odd numbers

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  4. Write the sum of first n even natural numbers.

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  5. Write the value of n for which nth terms of the A.P.s 3,10,17. And 63,...

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  6. if m t h term of an A.P. is n\ a n d\ n t h term is m , then write its...

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  7. If the sums of n terms of two A.P.s are in ratio (3n+2):(2n+3) , find ...

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  8. If 7th and 13th terms of an A.P. be 34 and 64 respectively, then its...

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  9. If the sum of p terms of an A.P. is q and the sum of q terms is p, the...

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  10. If the sum of n terms of an A.P. be 3n^2-n and its common difference i...

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  11. Sum of all two digit numbers which when divided by 4 yield unity as re...

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  12. There are n A.M.s between 3 and 17. The ratio of the last mean to the ...

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  13. If Sn denotes the sum of first n terms of an A.P. <an> such that (Sm)/...

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  14. The first and last terms of an A.P. are 1 and 11. If the sum of its ...

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  15. If the sum of m terms of an A.P., is 3m^2+5m then which of its terms i...

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  16. If the sum of n terms of an A.P. is 2n^2+5n ,\ then its nth term is ...

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  17. If a1,a2,a3, ,an are in A.P. with common difference d(where d!=0) , ...

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  18. If the arithmetic progression whose common difference is nonzero the ...

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  19. Find the four numbers in A.P., whose sum is 50 and in which the greate...

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  20. If n arithmetic means are inserted between 1 and 31 such that the rati...

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