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6–6 Sequences and ExpressionsMAIN IDEA• Extend and describearithmetic sequencesusing algebraicexpressions.BUILD YOUR VOCABULARY (pages 144–145)A sequence is a list of numbers in a specific order. Eachnumber in the list is called a term of the sequence.A sequence is an arithmethic sequence if each term can befound by adding the same number to the previous term.EXAMPLE Describe SequencesUse words and symbols to describe the value of eachterm as a function of its position. Then find the valueof the tenth term in the sequence.Position 1 2 3 4 nValue of Term 7 14 21 28 Notice that the value of each term isits positionnumber. So, the value of the term in position n is .Position Multiply by 7 Value of Term1 1 × 7 = 72 2 × 7 = 143 3 × 7 = 214 4 × 7 = 28n n × 7 = 7nNow find the value of the tenth term.7n = 7 · Replace n with .= Multiply.The value of the tenth term in the sequence is .Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.158 Math Connects, Course 1