Question

Insert six arithmetic mean between 15 and - 13

Answer 1

Let A1, A2, A3, ....A6 are the arithmetic mean between 15 and -13 .

15, A1, A2, A3, ....A6, -13

a = 15,
8th term = -13
a + (8-1)d = -13
15 +7d = -13
7d = -28
d = -4

so, A1 = 2nd term = a + d = 15-4 = 11
A2 =3rd term = a +2d = 15+2(-4) = 7
A3 = 4th term = a+3d = 15+3(-4) = 3
A4 = 5th term = a+4d = 15+4(-4) = -1
A5 = 6th term = a+5d = 15+5(-4) = -5
A6 = 7th term = a+ 6d = 15+6(-4) = -9

hence, 11, 7, 3, -1, -5, and -9 are six Arithmetic mean between 15and -13

Answer 2

Hi friend ...

I hope it will helpful,,,