If three arithmetic means are inserted between 5 and 25, the second arithmetic mean is _____?

If three arithmetic means are inserted between 5 and 25, the second arithmetic mean is _____?

Answer: 15
Explanation

5, _, _, _, 25

There are 5 terms. Let's find the common difference:

d = 25-5/4 = 20/4 = 5

The sequence is:

5 + 5 = 10

10 + 5 = 15

15 + 5 = 20

20 + 5 = 25

The sequence is 5, 10, 15, 20, 25

The second arithmetic mean is 15.

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