University:
Concordia University Wisconsin
Course:
MATH 1970 | Applied Calculus
Academic year:

2020
Views:

226

Pages:

3
Author:

Alexa Livingston

1.2 Arithmetic Series - blank September 10, 2020 Arithmetic Series When the terms of an arithmetic sequences are added together it is known as an arithmetic series. Sequence: Series: 5, 9, 13, 17, 21, 25 5 + 9 + 13 + 17 + 21 + 25 Story of Karl Gauss (1777 - 1855) How to find the sum of n terms of a sequence : Ch 1 - Sequences and Series Page 1 Example 1: Determine S14 for the arithmetic sequence: 9, 15, 21 … Example 2: Determine S22 for an arithmetic sequence where t1 = -18 and t22 = -45. Example 3: Determine the sum of the terms in the sequence Ch 1 - Sequences and Series Page 2 Example 3: Determine the sum of the terms in the sequence 17, 12, 7, ….. -38 Example 4: Susan starts working for a company for an annual salary of $42 000. Every year she receives an annual increase of $1250. a) In year 12, what is her salary? b) How much has she earned in total for those 12 years? Ch 1 - Sequences and Series Page 3

Arithmetic Series

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