NCERT Solutions for Class 6 Maths Ganita Prakash Chapter 1
Ganit Prakash class 6 Maths
Patterns in Mathematics class 6
Important NCERT Questions Based on new NCERT Books for Session 2024-2025
Working with the Text
Can you recognize the pattern in each of the sequences in Table 1?
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Recognising the Patterns in Sequences:
1. All 1’s Sequence (1, 1, 1, 1, …): Each number in the sequence is always 1.
2. Counting Numbers (1, 2, 3, 4, …): Each number increases by 1.
3. Odd Numbers (1, 3, 5, 7, …): Each number increases by 2, starting from 1.
4. Even Numbers (2, 4, 6, 8, …): Each number increases by 2, starting from 2.
5. Triangular Numbers (1, 3, 6, 10, …): The difference between consecutive numbers increases by 1 each time.
6. Squares (1, 4, 9, 16, …): Each number is the square of a natural number (e.g., 1², 2², 3², …).
7. Cubes (1, 8, 27, 64, …): Each number is the cube of a natural number (e.g., 1³, 2³, 3³, …).
square
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Patterns in Table 1 are based on arithmetic and geometric sequences. Counting numbers add one successively, odd numbers increase by two, and even numbers follow. Powers of two and three grow exponentially, forming geometric progressions. Triangular and square numbers depict spatial arrangements, with cumulative sums of rows. Virahānka numbers follow a Fibonacci-like pattern. Each sequence represents distinct numerical relationships, showcasing mathematical variety and logic, and their progression aids in understanding arithmetic and geometric principles.
For more NCERT Solutions for Class 6 Math Chapter 1 Patterns in Mathematics Extra Questions and Answer:
https://www.tiwariacademy.com/ncert-solutions-class-6-maths-ganita-prakash-chapter-1/