MA.FR.3.d: Determine the sum, 𝑆ₙ, if it exists, of an arithmetic or geometric series.

Determine the sum, 𝑆ₙ, if it exists, of an arithmetic or geometric series.

Example Problems

Find the sum:

\sum_{k = 0}^{60} (4 - 3k) =

Find the sum:

\sum_{k=1}^{40} 2(-0.8)^{k-1}

Find the sum:

\sum_{k = 5}^{45} (3k - 28) =

Khan Academy Resources

Arithmetic series worksheet Arithmetic series Arithmetic series Geometric series formula Finite geometric series Finite geometric series word problems Geometric series intro Proof of finite arithmetic series formula Finite geometric series word problem: mortgage Geometric series introduction Worked example: arithmetic series (sum expression)Worked example: arithmetic series (recursive formula)Worked example: finite geometric series (sigma notation)Geometric series word problems: swing Worked example: arithmetic series (sigma notation)Worked examples: finite geometric series

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