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

1.	Insert six A.M.s between 15 and - 13.
Answer» Let A₁, A₂, A₃, A₄, A₅, A₆ be the 7 AM Between 15 And - 13 Then, 15, A₁, A₂, A₃, A₄, A₅, A₆, - 13 are in AP We know, A_n = a + (n - 1)d A₈ = - 13 = 15 + (8 - 1)d d = -4 Hence, A₁ = a + d = 15 - 4 = 11 A₂ = A₁ + d = 11 - 4 = 7 A₃ = A₂ + d = 7 - 4 = 3 A₄ = A₃ + d = 3 - 4 = -1 A₅ = A₄ + d = -1 - 4 = -5 A₆ = A₅ + d = -5 - 4 = -9

Answer»

Let A₁, A₂, A₃, A₄, A₅, A₆ be the 7 AM Between 15 And - 13

Then,

15, A₁, A₂, A₃, A₄, A₅, A₆, - 13 are in AP

We know,

A_n = a + (n - 1)d

A₈ = - 13 = 15 + (8 - 1)d

d = -4

Hence,

A₁ = a + d

= 15 - 4

= 11

A₂ = A₁ + d

= 11 - 4

= 7

A₃ = A₂ + d

= 7 - 4

= 3

A₄ = A₃ + d

= 3 - 4

= -1

A₅ = A₄ + d

= -1 - 4

= -5

A₆ = A₅ + d

= -5 - 4

= -9

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