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Find the sum of first 100 natural number...

Find the sum of first 100 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.

If the sum of first n even natural numbers is equal to k times the sum of first n odd natural numbers, then k is equal to:

Find the arithmetic mean of first 8 natural numbers.

Find the sum of of the products of first n natural numbers, taken two at a time .

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MODERN PUBLICATION-SEQUENCES AND SERIES-EXERCISE
  1. Find the sum of the series : 72 + 70 + 68 +....+ 40?

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  2. Find the sum of first n natural numbers.

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  3. Find the sum of first 100 natural numbers.

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  4. Find the sum to n terms of the A.P. whose kth term is 5k + 1.

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  5. If the sum of n terms of an A.P. is (pn+qn^2), where p and g are const...

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  6. If the sum of a certain number of terms of the A.P. 25, 22, 19, .. . i...

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  7. Find the sum of 32 terms of an A.P. whose third term is 1 and the 6th ...

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  8. If the first term of an A.P. is 2 and the sum of the first five terms ...

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  9. If the first term of an A.P. is 2 and the sum of the first five terms ...

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

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

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

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

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

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

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

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

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

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

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

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