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NCERT Class XI Mathematics - Sequences and Series - Solutions
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Question : 28 of 106
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Insert five numbers between 8 and 26 such that the resulting sequence is an A.P.
Solution:
Let be numbers between 8 and 26 such that 8, , , 26 are in A.P., Here a = 8, l = 26, n = 7 ∴ 26 = 8 + (7 – 1) d ⇒ 6d = 18 ⇒ d = 3 Thus = a + d = 8 + 3 = 11; = a + 2d = 8 + 6 = 14 = a + 3d = 8 + 9 = 17; = a + 4d = 8 + 12 = 20 = a + 5d = 8 + 15 = 23 Hence five numbers between 8 and 26 are 11, 14, 17, 20, 23.
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