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.

Question

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All l’s 1, 1, 1, 1,… (The next three numbers are 1, 1, 1. The rule is that every number is 1.)
Counting numbers 1, 2, 3, 4, 5, 6, 7,… (The next three numbers are 8, 9,10. The rule is to add 1 to the previous number.)
Odd numbers 1, 3, 5, 7, 9, 1,… (The next three numbers are 15, 17, 19. The rs to add 2 to the previous number.)n numbers 2, 4, 6, 8, 10, 12, 14,… (The next three is to add 2 to the previous number.)
Triangular numbers 1, 3, 6,10,15, 21, 28,…
(The next three numbers are 36,45, 55. The rule is to add the next natural number is sequence.)
Squares 1, 4, 9, 16, 25, 36, 49,… (The next three numbers are 64, 81, 100. The rule is to square the next natural number.)
Cubes 1, 8, 27, 64, 125, 216,… (The next three numbers are 343, 512, 729. The rule is to cube the next natural number.)
Virahanka numbers 1, 2, 3, 5, 8, 13, 21,… (The next three numbers are 34, 55, 89. The rule is to add the last two numbers.)
Powers of 2 1, 2, 4, 8, 16, 32, 64,… (The next three numbers are 128, 256, 512. The rule is to multiply the last number by 2.)
Powers of 3 1, 3, 9, 27, 81, 243, 729,… (The next three numbers are 2187, 6561, 19683. The rule is to multiply the last number by 3.)
1.3 Visualising Number Sequences Figure it Out (Page No. 5-6)

Patterns in Mathematics — Question 4