SOLUTION: A sequence a, ax, ax2, ......, axn, has odd number of terms. Then the median is

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Question 1191794: A sequence a, ax, ax2, ......, axn, has odd number of terms. Then the median is
Found 2 solutions by MathLover1, math_tutor2020:
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

For odd number of terms, the median is the middle term, which in a upto n terms, is n%2F2.
so, for sequence a, ax, ax%5E2, ......, ax%5En, the median is ax%5E%28n%2F2%29

Answer by math_tutor2020(3817) About Me  (Show Source):
You can put this solution on YOUR website!

If you meant to say the sequence is

then let's consider a few small examples




Each term underlined is the median of the respective set.

The first example shows n = 2 leads to n+1 = 3 terms, in which ax+=+ax%5E1 is the median.
The second example shows n = 4 leads to n+1 = 5 terms, in which ax%5E2 is the median.
The third example shows n = 6 leads to n+1 = 7 terms, in which ax%5E3 is the median.


Hopefully you're able to spot the pattern, which will allow to find the median of the original set (when n is any positive even integer).