document.write( "Question 1206130: a theater has 20 rows of chairs the first row has 10 chairs and each row after that has 2 more seats than the row before it
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document.write( "How many total seats are in the theater \n" );
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Algebra.Com's Answer #843374 by ikleyn(52795)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( "a theater has 20 rows of chairs the first row has 10 chairs and each row after that \n" ); document.write( "has 2 more seats than the row before it. How many total seats are in the theater? \n" ); document.write( "~~~~~~~~~~~~~~~~~~~~\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( "The series of the chairs in rows is an arithmetic progression.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "1-st row has 10 chairs.\r\n" ); document.write( "\r\n" ); document.write( "The last, 20th row has 10 + (20-1)*2 = 10 + 19*2 = 10 + 38 = 48 chairs.\r\n" ); document.write( "\r\n" ); document.write( "(use the formula for the n-th term of an AP).\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "In all, there are\r \n" ); document.write( "\n" ); document.write( "Solved.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "------------------\r \n" ); document.write( " \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 \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |