Patterns in Numbers
We have spotted patterns in colors and shapes. Now let's look somewhere even more powerful: numbers! Numbers follow patterns all the time, and those patterns are the secret language computers speak. Once you can see number patterns, you are peeking into how AI thinks.
Counting Patterns and Skip Counting
The simplest number pattern is counting by ones: 1, 2, 3, 4, 5... Each number is one more than the one before. The rule is: add 1 each time. But you can skip! Skip counting means jumping by the same number each time. Count by 2s: 2, 4, 6, 8, 10, 12... The rule is: add 2 each time. Count by 5s: 5, 10, 15, 20, 25... The rule is: add 5 each time. Count by 10s: 10, 20, 30, 40, 50... The rule is: add 10 each time. Skip counting is everywhere. Your fingers and toes come in groups of 5. A decade is a group of 10 years. A carton holds 12 eggs — you could count them by 2s!
In a number pattern, there is always a rule — like 'add 2 each time.' Find the rule and you can predict any number in the sequence, even one very far down the list!
Odd and Even: A Special Pattern
Here is one of the most important number patterns: odd and even. Even numbers can be split into two equal groups with nothing left over: 2, 4, 6, 8, 10... Think of pairs of socks. Two socks make one pair. Four socks make two pairs. You never have a leftover sock! Odd numbers always have one left over when you try to make pairs: 1, 3, 5, 7, 9... If you have 3 socks, you get one pair and one lonely sock. Even numbers always end in 0, 2, 4, 6, or 8. Odd numbers always end in 1, 3, 5, 7, or 9. That is a pattern within a pattern!
Match each number sequence to its skip-counting rule.
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Number patterns help AI a lot. When a music app predicts your next favorite song, it uses patterns in what you have listened to before. The numbers that describe your listening habits follow patterns, and the AI finds those patterns to make a smart guess. You used the same kind of thinking when you found the skip-counting rule — add the same amount each time.
Just look at the last digit of any number. If it ends in 0, 2, 4, 6, or 8 — even! If it ends in 1, 3, 5, 7, or 9 — odd! Try it on your age right now.
What comes next in this pattern? 10, 20, 30, 40, ___
Is the number 17 odd or even?
Number Pattern Staircase
- Get a piece of paper and draw a staircase with 8 steps.
- Write the number 2 on the first step.
- Add 2 to get the next number, and write it on the second step.
- Keep going until all 8 steps have numbers.
- Now circle the numbers that are also in the count-by-4 pattern (4, 8, 12...).
- What do you notice? Which step numbers are even, and which are odd?