document.write( "Question 1111836: What is the 100th term of the pattern 3a-4b, 4a-2b, 5a, 6a+2b, 7a+4b,....
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Algebra.Com's Answer #726878 by ikleyn(52790)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "Every time we add  (a + 2b).\r\n" );
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document.write( "It is arithmetic progression with the first term  (3a-4b)  and the common difference  (a+2b).\r\n" );
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document.write( "The 100-th term is   \"a%5B100%5D\" = (3a-4b) + 99*(a+2b),\r\n" );
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document.write( "and you can simplify it further as far as you want.\r\n" );
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\n" ); document.write( "There is a bunch of lessons on arithmetic progressions in this site:\r
\n" ); document.write( "\n" ); document.write( "    - Arithmetic progressions\r
\n" ); document.write( "\n" ); document.write( "    - The proofs of the formulas for arithmetic progressions \r
\n" ); document.write( "\n" ); document.write( "    - Problems on arithmetic progressions \r
\n" ); document.write( "\n" ); document.write( "    - Word problems on arithmetic progressions\r
\n" ); document.write( "\n" ); document.write( "    - Mathematical induction and arithmetic progressions\r
\n" ); document.write( "\n" ); document.write( "    - One characteristic property of arithmetic progressions\r
\n" ); document.write( "\n" ); document.write( "    - Solved problems on arithmetic progressions \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
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\n" ); document.write( "\n" ); document.write( "The referred lessons are the part of this online textbook under the topic \"Arithmetic progressions\".\r
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\n" ); document.write( "\n" ); document.write( "Save the link to this textbook together with its description\r
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\n" ); document.write( "\n" ); document.write( "Free of charge online textbook in ALGEBRA-II
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