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Hi there! I am Studyfin, your learning buddy. Today we will explore the magic of sequences and find their hidden rules!
A sequence is an ordered list of numbers or shapes. They follow a special rule to get from one step to the next.
To find the rule, we analyze the relationship between the numbers. Let us look at how the numbers change from left to right.
We can connect math ideas by testing our rule. If the rule works for every step, we can use it to find the next number.
✏️ Worked example
Find the next number in this sequence: 3, 7, 11, 15, __
- Look at the first two numbers: 3 and 7.
- Analyze the relationship. To get from 3 to 7, we add 4.
- Test this rule on the next pair: 7 + 4 = 11. The rule works!
- Test it again: 11 + 4 = 15. The rule is correct.
- Apply the rule to the last number: 15 + 4 = 19.
- The next number in the sequence is 19.
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