Arithmetic Sequences

A sequence is a pattern. Let's build one by adding the same amount each time.

Tap to build
{{ stack }}
?

The Common Difference

The amount added each time is called the common difference (d).

Drag to gap
+{{ opt }}

Build the Sequence

A sequence is defined by its start number (a₁) and its common difference (d).

Adjust to match
Target Sequence:
{{ t }}
Your Sequence:
{{ u }}
Start Number (a₁)
{{ s3.userStart }}
Jump By (d)
{{ s3.userDiff }}

Finding Any Term

To find a future term, start at a₁ and add the jump (d) multiple times.

Slide & Solve
Start (a₁): {{ s4.start }}
Jump (d): +{{ s4.diff }}
{{ s4.start }}
+
{{ s4.diff }}
0 jumps
({{ s4.n - 1 }} jumps)
=
{{ s4CurrentValue }} ?
Term 1 Target: Term {{ s4.targetN }}
Looking at: Term {{ s4.n }}
Calculate the {{ s4.targetN }}th term:
{{ s4.input || '_' }}
🏆

Sequence Master!

You've learned how to identify, build, and calculate terms in an arithmetic sequence using the common difference.

Remember the formula:
+{{ drag.value }}