document.write( "Question 1088070: Students created a trapezoid from the cans they had collected
\n" ); document.write( "for the food bank. There were 10 rows in the trapezoid. The
\n" ); document.write( "bottom row had 100 cans. The 10th row has 136 cans. How many
\n" ); document.write( "cans were in the 8th row? \n" ); document.write( "
Algebra.Com's Answer #702350 by Edwin McCravy(20059)\"\" \"About 
You can put this solution on YOUR website!
Students created a trapezoid from the cans they had collected
\n" ); document.write( "for the food bank. There were 10 rows in the trapezoid. The
\n" ); document.write( "bottom row had 100 cans. The 10th row has 136 cans. How many
\n" ); document.write( "cans were in the 8th row?
\n" ); document.write( "
\r\n" );
document.write( "It's an arithmetic sequence\r\n" );
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document.write( "\"a%5Bn%5D=a%5B1%5D%2B%28n-1%29d\"\r\n" );
document.write( "

\n" ); document.write( "Students created a trapezoid from the cans they had collected
\n" ); document.write( "for the food bank. There were 10 rows in the trapezoid.
\n" ); document.write( "
\r\n" );
document.write( "\"n=10\"\r\n" );
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\n" ); document.write( "The bottom row had 100 cans.
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\r\n" );
document.write( "\"a%5B1%5D=100\"\r\n" );
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\n" ); document.write( "The 10th row has 136 cans.
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\r\n" );
document.write( "\"a%5B10%5D=135\"\r\n" );
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document.write( "Substitute n=10 in\r\n" );
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document.write( "\"a%5Bn%5D=a%5B1%5D%2B%28n-1%29d\"\r\n" );
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document.write( "\"a%5B10%5D=a%5B1%5D%2B%2810-1%29d\"\r\n" );
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document.write( "Substitute for \"a%5B10%5D\" and \"a%5B1%5D\"\r\n" );
document.write( "and simplify:\r\n" );
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document.write( "\"136=100%2B%289%29d\"\r\n" );
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document.write( "\"36=9d\"\r\n" );
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document.write( "\"4=d\"\r\n" );
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document.write( "So each row had 4 more cans than the preceding row.\r\n" );
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\n" ); document.write( "How many cans were in the 8th row?
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\r\n" );
document.write( "Substitute a1 = 100, n=8, and d=4 in\r\n" );
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document.write( "\"a%5Bn%5D=a%5B1%5D%2B%28n-1%29d\"\r\n" );
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document.write( "You finish.\r\n" );
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document.write( "Edwin
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