University of California, San Diego: Edward Bender and S. Williamson's "Arithmetic, Logic and Numbers: Induction, Sequences, and Series"

Read Section 3 on pages 20 - 30.

For sequences, given a summation ∑n > = k (f(n), we can expand it to the series, f(k), f(k) + f(k + 1), f(k) + f(k + 1) + f(k + 2), .... Given the series, f(k), f(k) + f(k + 1), f(k) + f(k + 1) + f(k + 2), f(k) + f(k + 1) + f(k + 2) + f(k + 3), ..., we can write it as ∑n >= k f(n).

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