📘 Class 10 · Mathematics

Chapter 6: Progressions

6 lessons

Progressions covers arithmetic progressions (AP) — sequences with a constant difference between terms, including the nth term and the sum of n terms — plus an introduction to geometric progressions (GP), where each term is multiplied by a constant ratio instead. 2, 5, 8, 11... is an AP with common difference 3; 2, 6, 18, 54... is a GP with common ratio 3.

Confusing the nth-term formula with the sum-of-n-terms formula is a frequent mix-up, as is mistaking common difference (AP) for common ratio (GP). This chapter introduces pattern-based reasoning that's genuinely different from the equation-solving in earlier chapters — recognising and extending a sequence rather than solving for an unknown.

1
Introduction to Arithmetic Progression
Introduction of arithmetic progression.
 2
Exercise 6.1 — Recognising AP
Recognition of arithmetic progression.
 3
Exercise 6.2 — nth Term of AP
General (nth) term of an arithmetic progression.
 4
Exercise 6.3 — Sum of AP
Sum of n terms of an arithmetic progression.
 5
Exercise 6.4 — Geometric Progression
Introduction of geometric progression.
 6
Exercise 6.5 — nth Term of GP
General (nth) term of a geometric progression.