Hey there! Ready to become a pattern detective? Today, we will explore how numbers connect to each other in sequences.
A sequence is an ordered list of numbers that follows a specific rule. We can analyze the relationship between neighboring numbers to find out what that rule is.
Let's look at an arithmetic sequence where we add the same number each time. By comparing the terms, we can see how the pattern grows step by step.
We communicate mathematical ideas by writing down the rule we discover. If we always add three, we can predict any future number in the sequence.
✏️ Worked example
Analyze the relationship in this sequence to find the next number: 4, 10, 16, 22, ...
Look at the first two numbers: 4 and 10. Find the difference by subtracting 4 from 10, which gives you 6.
Check the next pair: 10 and 16. Subtract 10 from 16, which also gives you 6.
Verify with the third pair: 16 and 22. Subtract 16 from 22, which is 6.
Analyze the relationship: The sequence consistently increases by adding 6 each time.
Apply the rule to find the next term: Add 6 to the last number, 22. 22 + 6 = 28.
Want the full interactive lesson — quiz, animations, and Finn cheering them on?
Studyfin
✨ Sign up free
