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9. Arithmetic Progressions
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Q16 of 202 Page 9

How many numbers of two digit are divisible by 3?

Two digit numbers divisible by 3 are 12, 15, 18,… ,99

Hence, a= 12, ,d=3


an= a + (n -1)d


99= 12(n -1)3


99= 9 = 3n


n=30


Hence, the total numbers of two digit divisible by 3 are 30.


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Find the second term and nth term of an A.P. whose 6th term is 12 and the 8th term is 22.

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An A.P. consists of 60 terms. If the first and the last terms be 7 and 125 respectively, find 32nd term.

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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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