Stage 26 · Sequences

26.2.5 The Sum of the First n Terms

26.2 Arithmetic Sequences

Point 5 of 6

26.2.5 The Sum of the First n Terms

Core idea

Pair the ends inward into equal totals, then add the sequence to its reverse to get Sₙ=n(a₁+aₙ)/2

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 · 26.2.5 The Sum of the First n Terms