document.write( "Question 1185225: Suppose that you plan on taking a summer job selling magazine subscriptions. The magazine company will pay you $1.25 for selling the first subscription. For each additional subscription​ sold, the magazine company will pay you 15 cents more than what was paid for the previous subscription. How much will you earn by selling 150 magazine​ subscriptions? \n" ); document.write( "
Algebra.Com's Answer #816012 by greenestamps(13203)![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "The dollar amounts form an arithmetic sequence of 150 terms with first term 1.25 and common difference 0.15: 1.25, 1.40, 1.55, ... \n" ); document.write( "The sum of the terms of an arithmetic sequence is \n" ); document.write( "Sum = (number of terms) times (average of all the terms) \n" ); document.write( "In an arithmetic sequence, because of the constant spacing between terms, the average of all the terms is the average of the first and last terms. \n" ); document.write( "So to find the answer to the question, you can do the following: \n" ); document.write( "(1) determine the 150th (last) term: first term plus 149 times the common difference; \n" ); document.write( "(2) find the average of the first and last terms; and \n" ); document.write( "(3) multiply that average by the number of terms, 150. \n" ); document.write( "ANSWER: $1863.75 \n" ); document.write( "If all you want is the answer, there it is.... \n" ); document.write( "If you want to LEARN HOW to solve problems like this, perform the calculations I described and verify that you get the shown answer. \n" ); document.write( " \n" ); document.write( " |