Insert six A.M.s between 15 and −13. - Vidyadip

Question

Insert six A.M.s between 15 and −13.

✓

Answer

Let A₁, A₂, A₃, A₄, A₅, A₆, be the seven 6 A.M.s between 15 and -13.
Then, 15 A₁, A₂, A₃, A₄, A₅, A₆, -13 are in A.P. of 8 terms
Here,
-13 = 15 + 7d
⇒ d -4
= -4
A₁ = 15 + d = 15 + (−4) = 11
A₂ = 15 + 2d = 15 + (−8) = 7
A₃ = 15 + 3d = 15 + (−12) = 3
A₄ = 15 + 4d = 15 + (−16) = −1
A₅ = 15 + 5d = 15 + (−20) = −5
A₆ = 15 + 6d = 15 + (−24) = −9
The 6 A.M.S between 15 and -13are 11, 7, 3, -1, -5 and -9

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