Stage 26 · Sequences

26.2.6 How Sₙ Depends Quadratically on n

26.2 Arithmetic Sequences

Point 6 of 6

26.2.6 How Sₙ Depends Quadratically on n

Core idea

Read Sₙ as a quadratic in n, and finding its largest or smallest value is like locating the vertex of a parabola

Module goal. Study sequences that grow by a fixed step each time, and master the general term, the key properties, and the sum of the first n terms.
eastmath.com · 26.2 Arithmetic Sequences · 26.2.6 How Sₙ Depends Quadratically on n