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19. Arithmetic Progressions
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Q5 of 167 Page 19

Find the sum of first n odd natural numbers.

given an AP of first n odd natural numbers whose first term a is 1, and common difference d is 3

Given sequence is 1, 3, 5, 7……n


To find: the sum of first n natural numbers


Hence the sum is given by the formula


Substituting the values in the above equation we get



s = n2


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3

Find the sum of first n natural numbers.

4

Find the sum of all - natural numbers between 1 and 100, which are divisible by 2 or 5

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Find the sum of all odd numbers between 100 and 200

7

Show that the sum of all odd integers between 1 and 1000 which are divisible by 3 is 83667

Questions · 167
19. Arithmetic Progressions
1 2 3 4 4 4 5 6 6 6 6 7 8 1 1 1 2 3 3 3 4 4 5 5 6 6 7 8 9 10 11 12 13 14 15 15 15 16 17 18 19 20 21 22 23 24 1 2 3 4 5 6 1 1 1 1 1 1 1 2 2 2 3 4 5 6 7 8 9 10 11 12 13 14 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 1 1 2 3 4 4 5 5 5 6 7 1 2 3 4 5 6 7 8 9 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 1 2 3 4 5 6 7 8 9 10 11 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24
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