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.

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).