document.write( "Question 1089825: In a sequence each even term is a times than the previous term and each odd term is c times than the previous term.The first term is 1. Find the sum of 2n terms. \n" ); document.write( "

Algebra.Com's Answer #704205 by ikleyn(52790) $\"\"$ $\"About$

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document.write( "Separate the sum of 2n terms in two sums:\r\n" );
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document.write( "   First sum S1 consists of odd terms of the original sequence, and \r\n" );
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document.write( "   second sum S2 consists of even terms.\r\n" );
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document.write( "Then the terms of S1 form geometric progression with the first term 1 and the common ratio of ac (= a*c).\r\n" );
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document.write( "The terms of S2 form geometric progression with the first term \"a\" and the common ratio of ac (= a*c).\r\n" );
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document.write( "Calculate the sums S1 and S2 using the common rule (formula) for geometric progression.\r\n" );
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document.write( "Then take the sum S1 + S2.\r\n" );
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\n" ); document.write( "\n" ); document.write( "When you complete your calculations, do not forget to send your \"thanks\" to me for clear instructions.\r
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\n" ); document.write( "There is a bunch of 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( "    - One characteristic property of geometric progressions\r
\n" ); document.write( "\n" ); document.write( "    - Solved problems on geometric progressions\r
\n" ); document.write( "\n" ); document.write( "    - Fresh, sweet and crispy problem on arithmetic and geometric progressions\r
\n" ); document.write( "\n" ); document.write( "    - Mathematical induction and geometric progressions\r
\n" ); document.write( "\n" ); document.write( "    - Mathematical induction for sequences other than arithmetic or geometric\r
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\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
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\n" ); document.write( "\n" ); document.write( "The referred lessons are the part of this online textbook under the topic \"Geometric progressions\".\r
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