when two or more arithmetic means are inserted between two arithmetic
3 extremes how are they computed
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2
Answer:
When two or more arithmetic means
are inserted between two arithmetic
extremes, we can simply first use the
formula:
d-an - ak
n - k
For Example: What are the three
arithmetic means of the arithmetic
extremes 8 and 16, then a1 8, and a5
16?
First we use the formula:
d= an - ak
n - k
= 16- 8 8 2
5-1 4
Our common difference is 2.
Then we can simply:
a5 16
a4 16-2(1) 14
a3 16 2(2) = 12
a2 16 -2(3) = 10
a1 16 2(4) 8
Now we have our arithmetic sequence 8,
10, 12, 14, 16
and The three arithmetic means of the
arithmetic extremes 8 and 16 are 10, 12,
and 14.
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