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Sequences & Series

Reveal an ordered pattern term by term, then watch its sum grow.

Follow the mechanism1 / 3

A rule generates ordered terms. The position n selects which member of the sequence is being described.

ordered patternadd a constant
Choose the rule
Focus the idea
A sequence reveals terms one at a timeThis arithmetic sequence starts at 2 and uses a common difference of 2. The first 7 terms are visible and their sum is 56.00.2.014.026.038.0410.0512.0614.07term naₙ = 2 + (n − 1) · 2
first term2.0
next term16.0
terms shown7 / 7
infinite sumnot finite

Each term follows the same additive rule. Predict the next point before revealing it.

A sequence is ordered; a series is what you get when you add its terms. The finite picture does not by itself prove that an infinite series converges.