Question

Find the three arithmetic means between ­4 and 16.

Answer 1

To find three arithmetic means between -4 and 16, add the common difference successively to find each mean.

Step-by-step explanation:

To find three arithmetic means between -4 and 16, we first need to find the common difference. The common difference is the difference between any two consecutive terms in the arithmetic sequence. In this case, the common difference is the difference between 16 and -4, which is 20. Now, we can find the three arithmetic means by adding the common difference successively to the given terms:

First mean = -4 + 20 = 16

Second mean = 16 + 20 = 36

Third mean = 36 + 20 = 56

Answer 2

7, 10 and 13.

Step-by-step explanation:

If there are 3 means between 4 and 16 then:

16 is obtained by adding the common difference 4 times:

(16 - 4)/4 = 12/4 = 3 = common difference.

So the 3 arithmetic means are 4+3, 4 +2*3, 4 + 3(3)

That is 7, 10 and 13.