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

Answer:

A1, A2, A3, A4, A5, A6 – 7 AM between 15 and – 13

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

an = a + (n – 1)d

an = -13, a = 15, n = 8

-13 = 15 + (8 – 1)d

-13 = 15 + 7d

7d = -13 – 15

7d = -28

d = -4

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