document.write( "Question 1186523: A student decides to follow a simple scheme to save money. She puts aside 5 peso the first day, 10 pesos the second day, 15 pesos the third day, 20 pesos the fourth day, and so on.\r
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Algebra.Com's Answer #817443 by ikleyn(52799)\"\" \"About 
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\n" ); document.write( "A student decides to follow a simple scheme to save money. She puts aside 5 peso the first day,
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\n" ); document.write( "b. How much money will she have at the end of 30 days?
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document.write( "(a)  Use the formula for the n-th term of an arithmetic progression.\r\n" );
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document.write( "     \"a%5B1%5D\" = 5,   d = 5,   n= 30.\r\n" );
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document.write( "     \"a%5Bn%5D\" = \"a%5B1%5D\" + d*(n-1).\r\n" );
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document.write( "      \"a%5B30%5D\" = 5 + 5*(30-1) = 5 + 5*30 - 5 = 5*30 = 150.\r\n" );
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document.write( "ANSWER.  150 pesos.\r\n" );
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document.write( "(b)  Use the formula for the sum of the first n terms of an arithmetic progression.\r\n" );
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document.write( "      You know the first term  \"a%5B1%5D\" = 5,  the last term  \"a%5B30%5D\" = 150\r\n" );
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document.write( "      and the number of terms  n = 30.\r\n" );
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document.write( "      So, you can use the simplest formula form\r\n" );
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document.write( "          \"S%5Bn%5D\" = \"%28%28a%5B1%5D%2Ba%5Bn%5D%29%2F2%29%2An\" \r\n" );
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document.write( "          \"S%5B30%5D\" = \"%28%285+%2B+150%29%2F2%29%2A30\" = use your calculator = 2325.\r\n" );
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document.write( "ANSWER.  2325 pesos.\r\n" );
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\n" ); document.write( "\n" ); document.write( "For introductory lessons on arithmetic progressions see \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( "in this site.\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 \"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
\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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