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)\"\" \"About 
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\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.

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