document.write( "Question 1006902: Heather is collecting dimes. She saves 2 dimes the 1st day, 4 dimes the 2nd day and 6 dimes the 3rd day. If this pattern continues, how much money will she have at the end of 30 days?\r
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document.write( "* please include the algebraic form, so I conceptually understand the problem. Thanks! \n" );
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Algebra.Com's Answer #805348 by CubeyThePenguin(3113)![]() ![]() You can put this solution on YOUR website! On the nth day, Heather saves 2n dimes. In n days, she has a total of:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "2 + 4 + ... + 2n \n" ); document.write( "= 2(1 + 2 + ... + n) \n" ); document.write( "= \n" ); document.write( "= n(n+1) dimes.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "We want to know how much money she has at the end of 30 days, so use n = 30.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "# of dimes = 30(31) = 930 \n" ); document.write( "amount of money = $9.30 \n" ); document.write( " |