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Insert 4 arithmetic means between 4 and 19.

  • A.7, 10, 13, 16
  • B.6, 9, 12, 15
  • C.5, 8, 11, 14
  • D.8, 11, 14, 17

Answer: A

We need to form an A.P. with 6 terms, where the first term is 4 and the 6th term is 19. So, \(a=4\) and \(a_6=19\). \(a_6 = a+5d \Rightarrow 19=4+5d \Rightarrow 15=5d \Rightarrow d=3\). The means are the 2nd, 3rd, 4th, and 5th terms: \(a+d=7\), \(a+2d=10\), \(a+3d=13\), \(a+4d=16\).

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