document.write( "Question 1203380: The population of a village at the end of consecutive decades was 2173, 2281, 2395, 2514. Show that the population was increasing approximately in G.P. \n" ); document.write( "
Algebra.Com's Answer #838893 by math_tutor2020(3817)![]() ![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "To determine if we have a geometric sequence, we divide each term over its previous term. \n" ); document.write( "The goal is to see if we get the same ratio each time. \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "r = term2/term1 = 2281/2173 = 1.049701 \n" ); document.write( "r = term3/term2 = 2395/2281 = 1.049978 \n" ); document.write( "r = term4/term3 = 2514/2395 = 1.049687\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "We get slightly different r values each time. \n" ); document.write( "The 1.049 portion matches up, but the other decimal digits do not.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So the sequence {2173, 2281, 2395, 2514} is not geometric, but it's somewhat close to it. \n" ); document.write( " \n" ); document.write( " |