1.

Find the number of terms of the A.P. 41, 38, 35, ..., 8?

Answer»

Here, a = 41 , d = 38 – 41 = –3 and l = 8

where l = a + (n – 1)d

⇒ 8 = 41 + (n – 1)(–3)

⇒ 8 = 41 –3n + 3

⇒ 8 = 44 – 3n

⇒ 8 – 44 = –3n

⇒ –36 = –3n

⇒ n = -36/-3 = 12

Hence, the number of terms in the given AP is 12



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