document.write( "Question 1191407: Find the sum of AP whose first term is 60 and last term is -104 \n" ); document.write( "
Algebra.Com's Answer #823206 by greenestamps(13203)![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "Not enough information. We need some information from which we can determine the number of terms. \n" ); document.write( "The sum of the terms of an AP is the number of terms, multiplied by the average of all the terms; and in an AP the average of all the terms is the average of the first and last terms. \n" ); document.write( "The average of the first and last terms in this example is (60-104)/2 = -22. \n" ); document.write( "So if the number of terms is n, the sum of the terms is -22n. \n" ); document.write( "2 terms: 60, -104 \n" ); document.write( "sum: -44 = 2(-22) \n" ); document.write( "3 terms: 60,-22,-104 \n" ); document.write( "sum: -66 = 3(-22) \n" ); document.write( "4 terms: 60,16/3,-148/3,-104 \n" ); document.write( "sum: -88 = 4(-22) \n" ); document.write( "etc.... \n" ); document.write( " \n" ); document.write( " |