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Insert Five Arithmetic means between 8 and 26 such that resulting sequence is an A.P. |
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Answer» a = 8, an, = 26, n = 7, d = ? Let the 5 AM's are A1, A2, A3, A4, and A5 ∴ (8), A1, A2, A3, A4, A5 (26) ⇒ Take an, = a + (n - 1)d 26 = 8 + (7 - 1)d ⇒ 18 = 6d ∴ d = 3 ∴ Ar, = a + d = 8 + 3 = 11 ⇒ A2 = a + 2 = 8 + 6 =14 ⇒ A3 = 17, A4 = 20, A5 = 23. |
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