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Question

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

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Solution

Let A1,A2,A3,A4,A5,A6 be the 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=a8=a+7d

13=15+7d

Or d = -4 ..... (i)

A1=a+d=154=11

A2=a+2d=152(4)=7

A3=a+3d=154(3)=3

A4=a+4d=154(4)=1

A5=a+5d=154(5)=5

A6=a+6d=154(6)=9

The 6 A.M.s between 15 and -13 are 11, 7, 3, -1, -5 and -9.


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