document.write( "Question 84882: Please help me to figure out this word problem. Thank you.\r
\n" ); document.write( "\n" ); document.write( "Suppose an employee recieves a wage of 1 cent for the first day of work, 2 cents the second day, 4 cents the third day, and so on in a geometric sequence. Find the total amount of money earned for working 30 days.
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Algebra.Com's Answer #61163 by Earlsdon(6294)\"\" \"About 
You can put this solution on YOUR website!
A sequence of numbers each of which is progressively increased by the same factor, in this case, the factor is 2, is known as a geometric progression.
\n" ); document.write( "\"2%5E0%2B2%5E1%2B2%5E2%2B2%5E3%2B2%5E4\"+...+\"2%5E%28n-1%29%2B2%5En\"
\n" ); document.write( "It can be shown that the sum of all the terms in such a progression is given by:
\n" ); document.write( "\"S+=+2%5En+-+1\"
\n" ); document.write( "In your problem, n = 30 (the number of days), so, the total number of cents (S) received for 30-days work would be:
\n" ); document.write( "\"S+=+2%5E30+-+1\"
\n" ); document.write( "\"S+=+1073741824+-+1\"
\n" ); document.write( "\"S+=+1073741823\" cents. Multiply by 100 to find the number of dollars.
\n" ); document.write( "\"S+=+10737418.23\"
\n" ); document.write( "The employee receives $10,737,418.23 for 30-days work.
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