CBSE Class 6 Mathematics Question 3 of 25

Patterns in Mathematics — Question 3

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3
Question
Can you recognize the pattern in each of the sequences in Table 1?
Answer

Yes,
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