1.

Insert Five Arithmetic means between 8 and 26 such that resulting sequence is an A.P. 

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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