document.write( "Question 876712: If I place 1 cent on the first square of a chess board, 2 cents on the second, and then double it on each square, how much money will be placed on the 14th square? \n" ); document.write( "
Algebra.Com's Answer #528987 by Alan3354(69443)![]() ![]() You can put this solution on YOUR website! If I place 1 cent on the first square of a chess board, 2 cents on the second, and then double it on each square, how much money will be placed on the 14th square? \n" ); document.write( "-------------- \n" ); document.write( "on the 14 squares, it's \n" ); document.write( "1 \n" ); document.write( "2 \n" ); document.write( "4 \n" ); document.write( "8 \n" ); document.write( "16 \n" ); document.write( "... \n" ); document.write( "--> 2^(n-1) \n" ); document.write( "=== \n" ); document.write( "2^13 = 8192 cents on square 14 \n" ); document.write( "= $81.92 on sq 14 \n" ); document.write( "======================= \n" ); document.write( "Sum = 2^14-1 = 16383 cents \n" ); document.write( "= $163.83 \n" ); document.write( " \n" ); document.write( " |