Insert 4 numbers between 2 and 22 such that the resulting sequence is an A.P.(a) 4, 8, 12, 16(b) 5, 9, 13, 17(c) 4, 10, 15, 19(d) 6, 10, 14, 18I have been asked this question in a job interview.This is a very interesting question from Arithmetic Progression(A.P.) topic in division Sequences and Series of Mathematics – Class 11

Insert 4 numbers between 2 and 22 such that the resulting sequence is

1.	Insert 4 numbers between 2 and 22 such that the resulting sequence is an A.P.(a) 4, 8, 12, 16(b) 5, 9, 13, 17(c) 4, 10, 15, 19(d) 6, 10, 14, 18I have been asked this question in a job interview.This is a very interesting question from Arithmetic Progression(A.P.) topic in division Sequences and Series of Mathematics – Class 11
Answer» The correct CHOICE is (d) 6, 10, 14, 18 Easy explanation: Let A.P. be 2, A1, A2, A3, A4, 22. =>a=2 and a6 = a+5d = 22 => 2+5*d=22 => d=4. A1 = a2 = a + d = 2 + 4 = 6. A2 = A1 + d = 6 + 4 = 10. A3 = 10 + 4 = 14. A4 = 14 + 4 = 18.

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