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Sequences & Series

A2.J.1Arithmetic series01/04

Arithmetic series and sigma notation.

Step01of 04

A series is the SUM of a sequence's terms. An arithmetic series sums an arithmetic sequence (constant difference d).

Sum of first n terms.

S_{n} = \frac{n}{2} (a_{1} + a_{n})

"Average of first and last, times count." Equivalent form using the common difference:

S_{n} = \frac{n}{2} (2 a_{1} + (n - 1) d)

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A2.J.1 – A2.J.3 · CCSS A.SSE.B.4·Full curriculum →