document.write( "Question 1151584: Find the 100th and nth term for each of the following sequences.
\n" ); document.write( "a. 1,5,9,13,...
\n" ); document.write( "b.70,120,170...
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\n" ); document.write( "d.8,8^4,8^7,8^10,...
\n" ); document.write( "e.109+7x3^32,109+8x3^32,109+9x3^32,... \n" ); document.write( "
Algebra.Com's Answer #773388 by ikleyn(52798)\"\" \"About 
You can put this solution on YOUR website!
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\n" ); document.write( "\n" ); document.write( "            I will solve and answer parts  (a),  (b)  and  (c)  only.\r
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document.write( "a)  is the arithmetic progression with the first term 1 and the common difference of 4.\r\n" );
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document.write( "    \"a%5Bn%5D\" = 1 + 4*(n-1) = 4n - 3.\r\n" );
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document.write( "b)  is the arithmetic progression with the first term 70 and the common difference of 50.\r\n" );
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document.write( "    \"a%5Bn%5D\" = 70 + 50*(n-1) = 50n + 20.\r\n" );
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document.write( "c)  is the geometric progression with the first term 1 and the common ratio of 3.\r\n" );
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document.write( "    \"a%5Bn%5D\" = \"1%2A3%5E%28n-1%29\" = \"3%5E%28n-1%29\".\r\n" );
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\n" ); document.write( "\n" ); document.write( "I just opened your eyes --- you do the rest.\r
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\n" ); document.write( "\n" ); document.write( "This problem is about the  SIMPLEST  properties of arithmetic and geometric progressions.\r
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\n" ); document.write( "\n" ); document.write( "Learn the subjects from these two groups of  introductory  lessons in this site\r
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\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
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\n" ); document.write( "\n" ); document.write( "and\r
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\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
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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 topics  \"Arithmetic progressions\"  and  \"Geometric progressions\".\r
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\n" ); document.write( "
\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
\n" ); document.write( "https://www.algebra.com/algebra/homework/complex/ALGEBRA-II-YOUR-ONLINE-TEXTBOOK.lesson\r
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\n" ); document.write( "\n" ); document.write( "into your archive and use when it is needed.\r
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