Algebraic pattern:
The sequence of number pattern based on the addition or subtraction is known as algebraic pattern.
algebraic pattern
Example:
Consider the sequence 1, 5, 9, 13, 17, 21, 25,...
Here, the numbers are arranged by following certain rule, which is explained below:
(i) First number in the given number pattern is 1.
(ii) Add 4 to the first number of the sequence. That is, 1 + 4 = 5, is the second number of the sequence.
(iii) Add 4 to the second number of the sequence. That is, 5+ 4 = 9, is the third number of the sequence.
(iv) Add 4 to the third number of the sequence. That is, 9 + 4 = 13, is the fourth number of the sequence.
(v) Add 4 to the fourth number of the sequence. That is, 13 + 4 = 17, is the fifth number of the sequence. Similarly, the remaining numbers will be obtained.
Thus, the given sequence is ordered by using the addition rule. Hence, the pattern followed by the sequence is an algebraic pattern.
Geometric pattern:
The sequence of number pattern based on the multiplication or division is known as geometric pattern.
Geometric pattern
Example:
Consider the sequence 90, 45, 22.5, 11.25,...
Here, the numbers are arranged by following certain rule, which is explained below:
(i) First number in the given number pattern is 90.
(ii) One-half of the first number gives the second number of the pattern. That is, , is the second number of the sequence.
(ii) One-half of the second number gives the third number. That is, , is the third number of the sequence. Similarly, the remaining numbers will be obtained.
Thus, the given sequence is ordered by using the division rule. Hence, the pattern followed by the sequence is a geometric pattern
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