Numbers mein patterns

Class 6 Maths · Chapter 1: Patterns in Mathematics · NCERT Ganita Prakash section 1.2

Seekho

Sabse basic patterns whole numbers ke patterns hain: 0, 1, 2, 3, 4 … Maths ka jo hissa inhe padhta hai use number theory kehte hain. Kisi rule se bani numbers ki list number sequence hai.

Kuch simple sequences: sab 1 (1, 1, 1 …), counting numbers (har baar 1 jodo), odd numbers (1 se shuru, 2 jodo) aur even numbers (2 se shuru, 2 jodo).

Even: 2, 4, 6, 8, 10 …

Triangular numbers: 1, 3, 6, 10, 15 … Jumps dekho: +2, +3, +4, +5. Jump har baar ek badhta hai.

Square numbers: 1 × 1, 2 × 2, 3 × 3 … yaani 1, 4, 9, 16 … Inke jumps 3, 5, 7, 9 hain: odd numbers! Cube numbers: 1 × 1 × 1, 2 × 2 × 2 … yaani 1, 8, 27, 64. Ye bahut tezi se badhte hain.

Cubes: 1, 8, 27, 64, 125 …

Virahānka numbers: 1, 2, 3, 5, 8, 13 … Har number apne pichhle do ka jod hai (5 + 8 = 13). Indian vidwaan Virahānka ne inhe 1000 saal se bhi pehle poetry ki rhythms padhte hue dhoondha.

5 + 8 = 13

2 ki powers: 1 se shuru karke har baar double karo: 1, 2, 4, 8, 16 … 3 ki powers: har baar 3 se guna karo: 1, 3, 9, 27, 81 …

Powers of 3: 1, 3, 9, 27, 81 …

Explore: apne number patterns banao. Chuno kahan se shuru karna hai aur har baar kitna jodna hai.

1. Odd numbers banao: 1, 3, 5, 7 …
2. 5 ke multiples banao: 5, 10, 15 …
3. Aisa pattern banao jisme 4, 10 aur 22 teeno aayein.

Yaad rakho

• Number sequence rule se bani numbers ki list hai.
• Odd 1, 3, 5 … · Even 2, 4, 6 … · Triangular 1, 3, 6, 10 … · Squares 1, 4, 9, 16 … · Cubes 1, 8, 27 … · Virahānka 1, 2, 3, 5, 8 … · 2 ki powers: 1, 2, 4, 8 …

Quick check

Agla number kaunsa hai? 1, 2, 3, 5, 8, 13, …

1. 18
2. 20
3. 21
4. 26

Socho

Har sequence ke agle teen numbers likho, aur apne shabdon mein uska rule batao.

Practice

Teen levels (easy, medium, hard) ke naye sawaalon se practice karo, kuch hands-on, hints aur hal ke saath. Topic poora karne ke liye pichhle 5 mein se 4 sahi karo.