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What is an Arithmetic Sequence?


An Arithmetic Sequence is a special kind of number pattern where the same number is added again and again to get the next number. It's like climbing stairs — each step is the same distance from the one before it.


Let's look at this number line:

2, 4, 6, 8, 10...

We're adding 2 each time. That's the rule! The number we keep adding is called the common difference.


Here's another:

100, 90, 80, 70...

This is still an arithmetic sequence, but this time we're subtracting 10 each time. So the common difference is -10.


Example:

If you plant flowers in rows of 5:

5 in the first row

10 in the second

15 in the third — you're making an arithmetic sequence!


Arithmetic sequences help us understand patterns and how numbers change over time. You’ll find these patterns in music beats, calendar dates, and even rows of chairs in a theater.

Try This Game:

"Finish My Pattern" Challenge

1️⃣ One person writes 3 numbers of a pattern (e.g., 7, 14, 21...).

2️⃣ The other has to figure out the rule and continue the sequence!

3️⃣ Switch roles and see who creates the trickiest pattern.

You'll be amazed at how many ways you can use math rules to build cool number chains.

Once you spot the pattern, arithmetic sequences are like puzzles that keep going forever. Try creating your own — start with any number and keep adding the same one. You’re doing algebra without even knowing it!


Practice Time!

Test your skills and have fun with our Missing Operations Quiz! 🎯