NCERT Solutions for Ganita Prakash Chapter 1 Patterns in Mathematics
Updated on 2026-09-05
About this chapter
Mathematics is the search for patterns and for the explanations of why those patterns exist. The most basic patterns in mathematics are number sequences — counting numbers, odd, even, triangular, square, cube, Virahānka numbers and powers of 2. Number sequences are often linked in beautiful ways. Adding odd numbers gives squares; adding counting numbers gives triangular numbers; adding hexagonal numbers gives cubes. Drawing a sequence as a picture often explains why a pattern works — a proof you can see. Shape sequences — regular polygons, complete graphs, stacked squares and triangles, the Koch snowflake — are the second big family of patterns, and each is tied to a number sequence.
- What is Mathematics?
- Patterns in Numbers
- Visualising Number Sequences
- Relations among Number Sequences
- Patterns in Shapes
- Relation to Number Sequences
Exercises
- Figure it Out — What is Mathematics? Page 2
- Figure it Out — Patterns in Numbers Page 3
- Figure it Out — Visualising Number Sequences Page 5
- In-text Questions — Relations among Number Sequences Page 7
- Figure it Out — Relations among Number Sequences Page 8 & 9
- Figure it Out — Patterns in Shapes Page 11
- Figure it Out — Relation to Number Sequences Page 11 & 12