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11. Arithmetic Progression
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Q14 of 178 Page 559

The sum of first 20 odd natural numbers is

Sum of first 20 odd natural numbers is 1 + 3 + 5 + 7 + … + 39.


This forms an arithmetic series with first term = a = 1


and common difference = d = 2


Sum of n terms of this arithmetic series is given by:


Sn = [2a + (n - 1)d]


Therefore sum of 20 terms of this arithmetic series is given by:


∴ S20 = [2(1) + (20 - 1)(2)]


= 10 [2 + 38]


= 10 × 40


= 400

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Questions · 178
11. Arithmetic Progression
1 1 1 1 1 2 2 2 2 2 3 4 5 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 1 2 3 4 5 6 7 8 9 10 11 12 13 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 1 1 1 1 1 2 2 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30
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