Sequence explorer
First terms, differences and patterns.
For checking your work after you’ve tried it yourself.
Step 1: Choose how to give it
Choose how to give it
A formula in n, a rule using earlier terms, or a list.
Step 2: Type it in
Type it in
In a rule, a1 means the previous term and a2 the one before.
Step 3: Explore
Explore
Terms, differences, ratios and remainders, then Do it by hand.
What it does.
Lists the terms of a sequence from a formula, a rule or your own list, then lays out the differences between neighbours, the ratios and the remainders mod , so patterns are easy to spot.
When it helps.
Checking terms you computed, or testing a guessed formula against the real values.
What it won’t do.
Up to 40 terms, as exact fractions. It shows differences but never guesses a formula for you.
Example.
For : 1, 4, 9, 16, and the second differences are all 2.