Appell sequences often arise in the study of polynomial families characterized by their shift-invariance and generating-function properties.

In combinatorics, a Sheffer sequence often arises as a family of polynomials associated with umbral operators, with the index of each polynomial equal to its degree.

When writing historical fiction, mastering the sequence of tenses is essential to maintain clarity across shifts in narrative time.

The teacher asked the students to prove that the sum of the first n terms of an arithmetic sequence equals n times the average of the first and the nth term.

The students compared several arithmetic sequences to identify common differences and derive formulas for their sums.

Geologists mapped several cratonic sequences to understand ancient sea-level changes.

Stratigraphers identified a cratonic sequence in the subsurface data that suggested a prolonged period of sea-level rise followed by gradual retreat.

In the paper, we compare several canonical sequences to determine which yields the most stable convergence.

Long exact sequences often arise when computing the homology groups of a pair of spaces.

The seminar focused on how a long exact sequence reveals relationships among an infinite family of cohomology groups.