Question 977271: What is the arithmetic means between the first term a and the last term b?
Answer by rothauserc(4718)   (Show Source):
You can put this solution on YOUR website! If there are n arithmetic means between a and b, total terms
will be n+2
last term = first term + (number of terms - 1)d, where
d = common difference
b = a + (n+2 -1)d
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if n= 1
b = a + 2d
2d = b - a
d = (b - a) / 2
the terms are a, a + ((b - a) / 2), b
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if n= 2
b = a + 3d
3d = b - a
d = (b - a) / 3
so the terms are a, a + ((b - a) / 3), a + ((b - a) / 3) + ((b - a) / 3), b
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