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Number Patterns
A number patterns can be of following types.

™ Even number pattern: 0, 2, 4, 6, 8, 10, 12, …… 100, ……, 1000 and so on.

™ Odd number pattern: 1, 3, 5, 7, 9, 11, 13, …… 101, ……, 1001 and so on.
™ Skip counting patterns: Depending on the numbers we skip as a rule and thus, infinite
number of patterns can be formed.
For example, Counting by 5’s: 5, 10, 15, 20, 25, ………

™ Reverse counting patterns like: 91, 90, 89, 88, 87, ………
More number patterns can be formed by adding consecutive numbers.

Pattern by Adding 3 Consecutive Numbers

1 + 2 + 3 = 6 ⇒ 3 × 2 = 6 Fact-o-meter

2 + 3 + 4 = 9 ⇒ 3 × 3 = 9 3 × middle term = sum of all three

3 + 4 + 5 = 12 ⇒ 3 × 4 = 12 consecutive numbers

4 + 5 + 6 = 15 ⇒ 3 × 5 = 15

As we observe, that the sum of each set is a multiple
of 3 and if the middle number is multiplied by 3, we
8 + 9 + 10 = 27 ⇒ 3 × 9 = 27 get the sum.

Pattern by adding 4 consecutive numbers

1 + 2 + 3 + 4 = 10 ⇒ 2 × (2 + 3) = 2 × 5 = 10
Fact-o-meter
2 + 3 + 4 + 5 = 14 ⇒ 2 × (3 + 4) = 2 × 7 = 14 2 × (sum of two middle terms)

3 + 4 + 5 + 6 = 18 ⇒ 2 × (4 + 5) = 2 × 9 = 18 = sum of all four consecutive
numbers

10 + 11 + 12 + 13 = 46 ⇒ 2 × (11 + 12) = 2 × 23 = 46

Here, sum is equal to twice the sum of two middle numbers.

Pattern by Adding Odd Numbers

1 + 3 = 4 ⇒ 2 × 2 = 4

1 + 3 + 5 = 9 ⇒ 3 × 3 = 9 Here, the sum of given odd numbers
1 + 3 + 5 + 7 = 16 ⇒ 4 × 4 = 16 is equal to the number of odd numbers
1 + 3 + 5 + 7 + 9 = 25 ⇒ 5 × 5 = 25 multiplied by itself.