Q. 44.5( 2 Votes )

Insert six arithmetic means between 11 and -10.

Answer :

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,





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.


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