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11. Arithmetic Progression
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Q4 of 178 Page 559

If 4, x1, x2, x3, 28 are in AP then x3 = ?

Here, first term = a = 4


Last term = l = 28


Number of terms = n = 5


∴ l = a + (n - 1)d


⇒ 28 = 4 + (5 - 1)d


⇒ 28 - 4 = 4d


⇒ 4d = 24


⇒ d = 6


Therefore x3 = a + 3d


= 4 + 3(6)


= 4 + 18


= 22

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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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