To find: Six arithmetic means between 11 and -10

Formula used: (i) , where, d is the common difference
n is the number of arithmetic means
(ii) An = a + nd
We have 11 and -10

Using Formula, An = a + nd

First arithmetic mean, A1 = a + d
= 11 + (-3)
= 8
Second arithmetic mean, A2 = a + 2d
= 11 + 2(-3)
= 11 + (-6)
= 5
Third arithmetic mean, A3 = a + 3d
= 11 + 3(-3)
= 11 + (-9)
= 2
Fourth arithmetic mean, A4 = a + 4d
= 11 + 4(-3)
= 11 + (-12)
= -1
Fifth arithmetic mean, A5 = a + 5d
= 11 + 5(-3)
= 11 + (-15)
= -4
Sixth arithmetic mean, A6 = a + 6d
= 11 + 6(-3)
= 11 + (-18)
= -7

Ans) The six arithmetic means between 11 and -10 are 8, 5, 2, – 1, -4 and -7.