Insert 4 A.M.s between 4 and 19. - Vidyadip

Question

Insert 4 A.M.s between 4 and 19.

✓

Answer

Let A₁, A₂, A₃, A₄be the four A.M.s between 4 and 19.
Then,
4, A₁, A₂, A₃, A₄, 19 are A.P of 6 terms
A_n = a + (n - 1)d
a₆ = 19 = 4 + (6 - 1)d
or d = 3 .....(1)
Now,
A₁ = 4 + d = 4 + 3 = 7
A₂ = 4 + 2d = 4 + 6 = 10
A₃ = 4 + 3d = 4 + 9 = 13
A₄ = 4 + 4d = 4 + 12 = 16
The 4 A.M.s between 4 and 19 are 7, 10, 13, 16.

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