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Calculus IV
15.Functions of Several Variables
16.Multiple Integration
17.Vector Analysis
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Course: College Algebra
Topic: Sequences and Series
Subtopic: Arithmetic Sequences and Series

Overview

Our studies today take us into the first of two special sequences. Sequences such as 4, 11, 18, 25, 32, ... where you add (or subtract) a fixed number to get the next terms are called arithmetic sequences. This particular sequence can be written in general as {4+7(n-1)}={7n-3}. It is important to be able to write the first few terms given this general formula or derive it when given the sequence's terms. Arithmetic series are sums where the terms are arithmetic such as 4+11+18+25+32+....

Something to think about: Do all infinite arithmetic series have a sum of infinity?

Objectives

By the end of this topic you should know and be prepared to be tested on:

Terminology

Define: arithmetic sequence, first term, common difference, nth term, arithmetic series, arithmetic sequence & series formulae