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Question

The three arithmetic mean between - 2 and 10 are:


A

-1, 3 and 8

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B

2, 5 and 8

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C

-1, 3 and 7

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D

1, 4 and 7

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Solution

The correct option is D

1, 4 and 7


Let three A.M. between - 2 and 10 be A1, A2 and A3.

5th term = 10 = -2 + (5 – 1)d

⇒ 12 - 4d ⇒ d – 3

A1 = -2 + 3 = 1, A2 = -2 + 2(3) = 4 and A3 = -2 + 3(3) = 7

Thus, three A.M. between -2 and 10 are 1, 4 and 7.


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