Insert 4 numbers between 2 and 22 such that the resulting sequenc… - Vidyadip

MCQ

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, 18

✓

Answer

6, 10, 14, 18

Solution:

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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