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9. Arithmetic Progressions
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Q17 of 202 Page 10

If Sr denotes the sum of the first r terms of an A.P. Then, S3n: (S2n — Sn) is

S2n = (2a + (2n–1) d)


Sn = (2a + (n–1)d)


S3n = (2a + (n–1)d)


S2n –Sn = (2a + (2n–1) d) – (2a + (n–1)d)


= (2a + (n –1) d)


S3n: (S2n — Sn) = (2a + (n–1)d) : (2a + (n –1) d)


= 3

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Questions · 202
9. Arithmetic Progressions
1 2 3 1 2 3 4 5 6 7 8 9 10 11 12 1 2 2 2 2 2 3 3 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 1 2 3 4 5 6 7 8 1 2 3 4 5 5 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 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 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 31 32 33 34 35 36 37 38 39 40 41 42
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