If 3^rd term of an A.P. is 6 and 5^th term of that A.P. is 12. Then find the 21^st term of that A.P.(a) 40(b) 42(c) 60(d) 63The question was posed to me in unit test.This is a very interesting question from Arithmetic Progression(A.P.) topic in section Sequences and Series of Mathematics – Class 11

If 3^rd term of an A.P. is 6 and 5^th term of that A.P. is 12. Then fi

1.	If 3^rd term of an A.P. is 6 and 5^th term of that A.P. is 12. Then find the 21^st term of that A.P.(a) 40(b) 42(c) 60(d) 63The question was posed to me in unit test.This is a very interesting question from Arithmetic Progression(A.P.) topic in section Sequences and Series of Mathematics – Class 11
Answer» Right answer is (c) 60 Best explanation: GIVEN, a3 = 6 and A5 = 12. => a + 2d = 6 and a + 4d = 12 => 2d = 6 => d=3. => a + 23 = 6 => a=0 So, A21 = a + 20 d = 0 + 203 = 60.

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