document.write( "Question 1108687: What is the common difference for the sequence :
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document.write( "4, 8/3, 16/9, 32/81, 64/6561
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Algebra.Com's Answer #723704 by ikleyn(52793)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( "What is the common difference for the sequence : \n" ); document.write( "4, 8/3, 16/9, 32/81, 64/6561 \n" ); document.write( "~~~~~~~~~~~~~~~~~~~~~~\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( "This sequence is a GEOMETRIC SEQUENCE.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "The term \"common difference\" is NOT APPLICABLE to geometric sequences.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "It is applicable for ARITHMETIC SEQUENCES only.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "For geometric sequences the term \"common ratio\" is used instead.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "The common ratio, by the definition, is the ratio of a consecutive term to the current term.\r\n" ); document.write( "\r\n" ); document.write( "It has the same value for any two consecutive terms of a geometric progression.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "In you case, take the ratio of any two consecutive terms, for example, the ratio\r \n" ); document.write( "\n" ); document.write( "----------------- \n" ); document.write( "See introductory lessons on geometric progressions in this site\r \n" ); document.write( "\n" ); document.write( " - Geometric progressions\r \n" ); document.write( "\n" ); document.write( " - The proofs of the formulas for geometric progressions \r \n" ); document.write( "\n" ); document.write( " - Problems on geometric progressions\r \n" ); document.write( "\n" ); document.write( " - Word problems on geometric progressions\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Also, you have this free of charge online textbook in ALGEBRA-II in this site\r \n" ); document.write( "\n" ); document.write( " - ALGEBRA-II - YOUR ONLINE TEXTBOOK.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The referred lessons are the part of this online textbook under the topic \"Geometric progressions\".\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Save the link to this textbook together with its description\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Free of charge online textbook in ALGEBRA-II \n" ); document.write( "https://www.algebra.com/algebra/homework/complex/ALGEBRA-II-YOUR-ONLINE-TEXTBOOK.lesson\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "into your archive and use when it is needed.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |