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Write the sum of first n even natu...

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

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Statement 1 The difference between the sum of the first 100 even natural numbers and the sum of the first 100 odd natural numbers is 100. Statement 2 The difference between the sum opf the first n even natural numbers and sum of the first n odd natural numbers is n.

Write the sum of first n odd natural numbers.

RD SHARMA-ARITHMETIC PROGRESSIONS-All Questions
  1. Write the n t h term of an A.P. the sum of whose n terms is Sn .

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  2. Write the sum of first n odd natural numbers.

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

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  4. If the sum of n terms of an A.P. is Sn=3n^2+5n . Write its co...

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  5. Write the expression for the common difference of an A.P. whose fir...

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  6. First the term of an A.P is p and its common difference is q. Find its...

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  7. For what value of p are 2p+1,\ 13 ,\ 5p-3 are three consecutive ...

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  8. If 4/5,\ a ,\ 2 are three consecutive terms of an A.P., then find t...

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  9. If the sum of first p terms of an AP is ap^2+bp find the common differ...

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

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  11. If the sum of P terms of an A.P. is q and the sum of q terms ...

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  12. The sum of n terms of an AP is 3n^2+nand its common difference is 6,th...

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

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

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  15. If the sum of n terms of an A.P. is 2n^2+5n , then its n t h ter...

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  16. If the sum of three consecutive terms of an increasing A.P. is 51 a...

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  17. If four numbers in A.P. are such that their sum is 50 and the great...

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  18. Let Sn denote the sum of n terms of an AP whose first term is a. If co...

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  19. If the first, second and last term of an A.P. are a ,\ b and 2a res...

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  20. If S1 is the sum of an AP of 'n' odd number of terms and S2 be the sum...

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