1.

Insert five numbers between 8 and 26 such that the resulting sequence is an arithmetic progression.

Answer»

8A1, A2, A3, A4, A5, 26 

a = 8, n = 7, an = 26, d = ? 

an = a + (n-1)d ⇒ 26 = 8 + (7 – 1)d = 26 – 8 = 6d 

18 = 6d ∴ d=3 

Common difference 

∴ A1 = a + d = 8 + 3 =11, A2 =11 + 3 = 14, A3 = 17, A4 = 20, A5 = 23 are the 5 AM’s



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