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Question -

Insert six A.M.s between 15 and – 13.



Answer -

Let A1, A2,A3, A4, A5, A6 be the 7 AMbetween 15 and – 13

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

By using the formula,

an = a+ (n – 1)d

an =-13, a = 15, n = 8

so,

-13 = 15 + (8 – 1)d

-13 = 15 + 7d

7d = -13 – 15

7d = -28

d = -4

So,

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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