Patterns in Mathematics — Question 3
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Patterns
Recognization of patterns
1, 1, 1, 1, 1, 1, 1,… (All l’s)
Sequence of all 1 ’s
1, 2, 3, 4, 5, 6, 7, … (Counting numbers)
A sequence of consecutive counting numbers starting from 1
1, 3, 5, 7, 9, 11, 13, … (Odd numbers)
A sequence of consecutive odd numbers starting from 1
2, 4, 6, 8, 10, 12, 14, … (Even numbers)
A sequence of consecutive even numbers starting from 2
1, 3, 6, 10, 15, 21, 28, … (Triangular numbers)
In the sequence, each term is the sum of first n consecutive counting numbers
1,4, 9, 16, 25,36, 49, … (Squares)
In the sequence, each term is the product of counting number by itself starting from 1
1, 8, 27, 64, 125, 216, … (Cubes)
In the sequence, each term is the product of counting number by itself thrice starting from 1
1, 2, 3, 5, 8, 13, 21, … (Virahanka numbers)
In the sequence, each term (starting from third term) is the sum of previous two terms