Final answer:
The question seems to mix programming with mathematics concepts related to sequences and series, and inferential statistics. The math-related part deals with the sum of arithmetic sequences and the properties of an F-distribution in statistics.
Step-by-step explanation:
The method described in the student's question seems to be related to programming rather than a direct mathematical concept. However, given the context provided with the examples involving n terms and expressions equaling n², it appears the student may be referring to a sequence sum or mathematical manipulation. The examples involve operations like summing terms in an arithmetic sequence or considering the degrees of freedom in an F-distribution from statistics. These concepts point to potential topics of sequences and series in mathematics, and inferential statistics in the case of the F-distribution.
In the first example, the manipulation of terms in an arithmetic sequence is used to demonstrate that the sum of an odd number sequence is equal to n². In the second example, the F-distribution is discussed, which is part of inferential statistics, examining variance across different samples and their degrees of freedom, which is a concept used in hypothesis testing.