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9. Arithmetic Progressions
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Q33 of 202 Page 9

Find the 8th term from the end of the A.P.

a = 7, d = 3

Last term, an = 184


an = a + (n – 1) d


184 = 7 + (n - 1) 3


184 = 7 + 3n – 3


180 = 3n


n = 60


Now we have to find last 8th term, it means = 60th – 7 = 53rd term


a53 = 7 + (53 – 1)3


= 7 + 52 * 3


= 7 + 156 = 163


Hence, 8th term from the end of given is 163


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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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