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Example 14 The eighth term of an A.P. is half of its second term and 11th terone third of fourth term by 1. Find the 15th term.1 ho the common difference of theA.P |
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Answer» a + 7d = a + d/22a + 14d = a + da = -13da +10d = 1/3(a +3d) + 1a +10d -1 = 1/3(a + 3d)3(a + 10d -1) = a +3d3a + 30d -3 = a+ 3d2a + 27d =32(-13d) + 27d =3(since a = -13d)-26d + 27d = 3d = 3a= -13da = -39a + 14d = -39 + 41 =3hence,15th term is 3. |
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