Final answer:
The question is about the kth percentile in statistics, requiring a process of identifying the position i in an ordered data set or the average of two positions if i is not an integer.
Step-by-step explanation:
The question asks for the definition of a sequence sum given three integers i, j, and k. The term 'sequence sum' is not a standard mathematical expression, and the actual context of the question is about percentile calculations which is a statistical concept. The explanation involves finding a position (i) within an ordered set based on a given percentile (k) and unfolding the meaning of the kth percentile in data analytics.
If i is an integer, then the kth percentile is the data value at the i-th position in the ordered set. If i is not an integer, the procedure is to round i up and down to the nearest integers, then to average the two corresponding data values. An example can illustrate this more clearly, where having calculated the position as a non-integer, the values at the nearest positions below and above are averaged to find the percentile.