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The 8 th common term of the series S 1 = 3 + 7 + 11 + 15 + 19 + … S 2 = 1 + 6 + 11 + 16 + 21 + … . is

Correct answer

151

Step-by-step solution

Given, Two A.P's as 3 , 7 , 11 , 15 , . . . First term a 1 = 3 Common difference d 1 = 4 And, 1 , 6 , 11 , 16 , . . . , First term a 2 = 1 Common difference d 2 = 5 Now, common difference of the series of the common terms of the given A.P's is d = LCM d 1 , d 2 = LCM 4 , 5 = 20 Now, series of common term is 11 , 31 , 51 , 71 , . . . So, 8 th common term appearing in the both the series is a 8 = 11 + 8 - 1 d ⇒ a 8 = 11 + 7 × 20 = 151

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