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(i) Find the sum of first 200 even natur...

(i) Find the sum of first 200 even natural numbers.
(ii) Find the sum of all numbers lying between 201 and 424 which are divisible by 5.
(iii) Find the sum of all numbers from 1 to 200 which are divisible by either 2 or 3.

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The correct Answer is:
(a) 40200 (b) 13750 (c) 13367 (d) 2400 (e) 1800
N/a
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NAGEEN PRAKASHAN ENGLISH-SEQUENCE AND SERIES-Exercise 9C
  1. Find the sum of 50 terms of the A.P. 1 + 4 + 7 + ....

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  2. (i) Find the sum of first 200 even natural numbers. (ii) Find the su...

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  3. (a) Find the value of x if 1 + 6 + 11 + ... + x = 189. (b) Find the ...

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  4. (a) How many terms of the A.P. 6 + 10 + 14 + ... has the sum 880 ? (b)...

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  5. (a) The sum of 'n' terms of a progression is n(n + 1). Prove that it i...

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  6. The sum of 5 and 15 terms of an A.P. are equal. Find the sum of 20 ter...

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  7. The sum of 20 and 28 terms of an A.P. are equal. Find the sum of 48 te...

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  8. In an A,P if the pth term is (1)/(q) and q^(th) terms is (1)/(p). Prov...

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  9. The sum of15 terms of an A.P. is zero and its 4th term is 12. Find its...

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  10. The common difference, last term and sum of terms of an A.P. are 4, 31...

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  11. If (0,-3)a n d(0,3) are the two vertices of an equilateral triangle, f...

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  12. If there are (2n+1) terms in A.P. , then prove that the ratio of the s...

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  13. In an A.P., if T(1) +T(5)+ T(10) +T(15)+ T(20) + T(24) = 225, find the...

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  14. The nth term of an A.P. is (5n-1). Find the sum of its 'n' terms.

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  15. The sum of 8 terms of an A.P. is 64 and sum of 17 terms is 289. Find t...

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  16. The ratio of sums ofn terms of two A.P'.s is (2n + 1) : (2n - 1). Prov...

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  17. The ratio of sums of n terms of two A.P'. is (7n + 1) : (4n + 27). Fin...

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  18. If the ratio of the sum of m terms and n terms of an A.P. be m^2 : n^2...

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  19. How many terms of the progression 54 + 51 + 48 +... has the sum 513 ? ...

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  20. The pth and qth terms of an A.P. are x and y respectively. Prove that ...

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