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You Can Do Math: Arithmetic Sequences
1790800692 epub A detailed guide to arithmetic sequences (also known as arithmetic progressions), including how to identify them, how to find the terms, creating formulae to describe the terms of an arithmetic sequences, calculating the sum and mean of an sequence, and more. Easy-to-follow step-by-step explanations, numerous examples, and 80 questions and answers - including showing you to solve each question and reach the answer. Topics include: INTRODUCING ARITHMETIC SEQUENCES What is a Sequence? What is an Arithmetic Sequence? Checking if a Sequence is an Arithmetic Sequence Finding the Common Difference of an Arithmetic Sequence from Adjacent Terms Finding the Common Difference of an Arithmetic Sequence from Non-Adjacent Terms Finding the Next Terms in an Arithmetic Sequence Finding the Previous Terms in an Arithmetic Sequence Finding Missing Terms in an Arithmetic Sequence FINDING AND USING THE FORMULA FOR A PARTICULAR ARITHMETIC SEQUENCE Finding the Formula Using the Formula to Find a Particular Term Using the Formula to Check Whether and Where a Particular Term is in a Sequence Using the Formula to Find the First Term Greater Than a Target Value Using the Formula to Find the First Term Less Than a Target Value A GENERAL FORMULA FOR THE TERMS IN AN ARITHMETIC SEQUENCE Creating the Formula Using the Formula Finding the Values of a and d CALCULATING THE SUM AND MEAN OF AN ARITHMETIC SEQUENCE Gauss at Elementary School Generating a Formula for the Sum of Arithmetic Sequence Using the Sum Formula Finding the Sum of Ranges of Terms within an Arithmetic Sequence Generating a Formula for the Arithmetic Mean of an Arithmetic Sequence Simultaneous Equations Involving the Sum and/or Mean