document.write( "Question 1039333: Rina will hold her piano recital at the music hall of her school. The music hall has 12 rows of seats, in which the first row has 15 seats. Each succeeding row has 3 more seats than the one in front of it. What is the maximum number of people who can be seated in the music hall? \n" ); document.write( "

Algebra.Com's Answer #654097 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
The sequence for the rows is:
\n" ); document.write( " $\"+15+%2B+0%2A3+\"$
\n" ); document.write( " $\"+15+%2B+1%2A3+\"$
\n" ); document.write( " $\"+15+%2B+2%2A3+\"$
\n" ); document.write( " $\"+15+%2B+3%2A3+\"$
\n" ); document.write( " $\"+15+%2B+4%2A3+\"$
\n" ); document.write( "etc.
\n" ); document.write( "-----------------
\n" ); document.write( "If you have $\"+n+\"$ rows, the sum would be:
\n" ); document.write( "15*n + 3*( 1 + 2 + 3 + . . . + (n-1) )
\n" ); document.write( "------------------------------
\n" ); document.write( "If $\"+n+=+12+\"$ and $\"+n+-+1+=+11+\"$ , you
\n" ); document.write( "can use a formula for the sum of the digits:
\n" ); document.write( " $\"+15%2A12+%2B+%28+12%2A11+%29+%2F+2+\"$
\n" ); document.write( " $\"+180+%2B+132%2F2+\"$
\n" ); document.write( " $\"+180+%2B+66+=+246+\"$
\n" ); document.write( "The maximum number of people who
\n" ); document.write( "can be seated is 246 \n" ); document.write( "

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