Let , , , , be a sequence, where is a positive even integer.
Let the median of the whole sequence and let , then which of the following is always true?
This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try
refreshing the page, (b) enabling javascript if it is disabled on your browser and,
finally, (c)
loading the
non-javascript version of this page
. We're sorry about the hassle.
As a is not specified, we have two cases -
When a > 0 , then the series is either increasing (for a > 1 ) or decreasing (for a < 1 ), so x = a 2 n and hence x = y .
When a < 0 however, the series alternates between positive and negative values, hence x > y .