the sum of 4th and 8th term of an AP is 24 and the sum of 6th and 10th term of an AP is 44.Find the first three term of an AP
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22 th ap
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points) selected Mar 19, 2020 by Mohini01 a4 + a8 = 24 …………. (1) a6 + a10 = 44 ………… (2) But A.P is a, a + d, a + 2d from equation (1). a4 + a8 = 24 a + 3d + a + 7d = 24 2a + 10d = 24 ………….. (3) from equation (2). a6 + a10 = 44 a + 5d + a + 9d = 44 2a + 14d = 44 ………… (4) Subtracting eqn. (4) from equation (3) ∴ d = 5 Substituting the value of d in equation (3) 2a + 10d = 24 2a + 10(5) = 24 2a + 50 = 24 2a = 24 – 50 2a = -26 a = 26/2 , ∴ a = -13 . ∴ AP: a, a + d, a + 2d, ……….. -13, -13 + 5, -13 + 2(5), ……… -14, -8, -3, ………
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