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Show that the sum of n consecutive odd i...

Show that the sum of n consecutive odd integers beginning with 1 equals `n^2`?

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MODERN PUBLICATION-SEQUENCES AND SERIES-EXERCISE
  1. If the first term of an A.P. is 2 and the sum of the first five terms ...

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  2. If the 12th term of an A.P. is -13 and the sum of the first four terms...

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  3. Show that the sum of n consecutive odd integers beginning with 1 equal...

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  4. Show that the sum of first n even numbers is equal to (1+1/n) times th...

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  5. Find the sum of odd integers from 1 to 2001. (A) 100200 (B) 1002001 (C...

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  6. Find the sum of all natural numbers between 99 and 1001 which are mult...

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  7. Find the sum of first hundred even natural numbers divisible by 5.

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  8. Find the sum of all integers between 50 and 500, which are divisible b...

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  9. Find the sum of all numbers between 200 and 400 which are divisible by...

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  10. How many terms are there in A.P. whose first and fifth terms are -14 a...

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  11. If the sum of the first n terms of a sequence is of the form An^2+ Bn,...

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  12. If the 5th and 12th terms of an A.P. are 30 and 65 respectively, what ...

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  13. If the first term a1 of an A.P. is 22, the common difference d = -4 an...

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  14. In an A.P., if p^(th) term is 1/q and q^(th) term is 1/p, prove that t...

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  15. If the sum of first p terms of an A.P. is equal to the sum of the firs...

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  16. If ‘S’ is the sum of a finite A.P. whose first term is ‘a’ and last te...

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  17. In an A.P., of which a is the first term, if the sum of the first p te...

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  18. The sum of n terms of two arithmetic series are in the ratio of (7n + ...

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  19. The sum of n terms of arithmetic progressions are in the ratio (3n+ 8)...

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  20. The ratio of the sums of m and n terms of an A.P. is m^2: n^2. Show th...

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