document.write( "Question 1175031: A population of beetles are growing according to a linear growth model. The initial population (week 0) is Po =3, and the population after 5 weeks is P5 =23. \r
\n" ); document.write( "\n" ); document.write( "Find the explicit formula for the beetle population after n weeks.
\n" ); document.write( "Pn =\r
\n" ); document.write( "\n" ); document.write( "After how many weeks will the beetle population reach 99? \n" ); document.write( "
Algebra.Com's Answer #800559 by ikleyn(52834)\"\" \"About 
You can put this solution on YOUR website!
.
\n" ); document.write( "
\r\n" );
document.write( "\r\n" );
document.write( "Arithmetic progression with the first term of 3.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "The common difference is  \"%2823-3%29%2F5\" = \"20%2F5\" = 4.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "4 beetles are added each week.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "The general formula after n weeks is\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "    Pn = 3 + 4n.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "It will reach  99 when\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "    Pn = 99 = 3 + 4n\r\n" );
document.write( "\r\n" );
document.write( "         99 - 3 = 4n\r\n" );
document.write( "\r\n" );
document.write( "         96     = 4n\r\n" );
document.write( "\r\n" );
document.write( "          n     = 96/4 = 24.     ANSWER\r\n" );
document.write( "
\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( "Also,  you have this free of charge online textbook in ALGEBRA-II in this site\r
\n" ); document.write( "\n" ); document.write( "    - ALGEBRA-II - YOUR ONLINE TEXTBOOK.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "The referred lessons are the part of this online textbook under the topic \"Arithmetic progressions\".\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Save the link to this textbook together with its description\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Free of charge online textbook in ALGEBRA-II
\n" ); document.write( "https://www.algebra.com/algebra/homework/complex/ALGEBRA-II-YOUR-ONLINE-TEXTBOOK.lesson\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "into your archive and use when it is needed.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
\n" );