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
Rewrite each sequence of Table 1 in your notebook, along with the next three numbers in each sequence! After each sequence, write in your own words what is the rule for forming the numbers in the sequence.
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Extending Sequences in Table 1:
1. All 1’s Sequence: The next three numbers are 1, 1, 1. The rule is that every number in the sequence is 1.
2. Counting Numbers Sequence: The next three numbers are 8, 9, 10. The rule is to add 1 to the previous number.
3.Odd Numbers Sequence: The next three numbers are 15, 17, 19. The rule is to add 2 to the previous number.
4. Even Numbers Sequence: The next three numbers are 16, 18, 20. The rule is to add 2 to the previous number.
5. Triangular Numbers Sequence: The next three numbers are 36, 45, 55. The rule is to add the next counting number to the previous triangular number (e.g., 1 + 2 = 3, 3 + 3 = 6, 6 + 4 = 10, …).
6. Squares Sequence: The next three numbers are 64, 81, 100. The rule is to square the next counting number (e.g., 8² = 64, 9² = 81, 10² = 100).
7.Cubes Sequence: The next three numbers are 125, 216, 343. The rule is to cube the next counting number (e.g., 5³ = 125, 6³ = 216, 7³ = 343).