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Partial Sums and Summation Notation in Sequences

Learn how to find the sum of sequence terms. Explore partial sums before diving into the total sum. Discover explicit and recursive methods along with Sigma Notation.

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Partial Sums and Summation Notation in Sequences

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  1. Sect 7.1B: Partial Sums and Summation Notation We will be finding the sum of the terms of a sequence…we’ll start by finding the sum of only part of the sequence (partial sum) and later find the sum of the whole sequence.

  2. EXPLICIT: • Find the first four terms of the sequence of partial sums.

  3. RECURSIVE: • Find the first four terms of the sequence of partial sums.

  4. SIGMA NOTATION Find the “sum” of a sequence:

  5. Find the “sum” of each:

  6. Find the “sum” of each:

  7. Find the “sum” of each:

  8. Find the “sum” of each:

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