document.write( "Question 49816: francisco was rasing afican spotted mice. they were unusual in that every two months the female had exactly two babies ---a male and female. when these babies were two monthes old, they had their first babies and continued to have them every two months after that.
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document.write( "Francisco began with one pair of spotted mice on jan. 1 1998 and his parents made him sell all that he had on jan.1 2000, just after more babies were born since none of the mice had died, he had quite a few How many? \n" );
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Algebra.Com's Answer #33103 by venugopalramana(3286)![]() ![]() You can put this solution on YOUR website! francisco was rasing afican spotted mice. they were unusual in that every two months the female had exactly two babies ---a male and female. when these babies were two monthes old, they had their first babies and continued to have them every two months after that. \n" ); document.write( "Francisco began with one pair of spotted mice on jan. 1 1998 and his parents made him sell all that he had on jan.1 2000, just after more babies were born since none of the mice had died, he had quite a few How many?\r \n" ); document.write( "\n" ); document.write( "..................................NUMBER OF MICE \n" ); document.write( "..............................MALE.......FEMALE......................TOTAL \n" ); document.write( "ZERO DATE..1-JAN-98............1=2^0..........1=2^0...................2=2^1 \n" ); document.write( "AFTER 2 MONTHS=2*1 MONTHS......1+1=2^1.......1+1=2^1..................4=2^2 \n" ); document.write( "AFTER 4 MONTHS=2*2 MONTHS......2+2=2^2.......2+2=2^2..................8=2^3 \n" ); document.write( "AFTER 6 MONTHS=2*3 MONTHS......4+4=2^3.......4+4=2^3..................16=2^4 \n" ); document.write( "......................................................................... \n" ); document.write( "........................................................................... \n" ); document.write( "ON 1-JAN-2000 \n" ); document.write( "AFTER 24 MONTHS=2*12 MONTHS.....=2^12..........=2^12................=2^13 \n" ); document.write( "-------------------------------------------------------------------------- \n" ); document.write( "TOTAL NUMBER OF MICE............=2^1+2^2+2^3+2^4........+2^13... \n" ); document.write( "THIS IS A GEOMETRIC PROGRESSION WITH FIRST TERM=A=2.....COMMON RATIO=R=2 \n" ); document.write( "AND NUMBER OF TERMS = N= 13 \n" ); document.write( "S=A(R^N-1)/(R-1)=2{2^13 -1}/(2-1)=2^14-2=16382 \n" ); document.write( " |