# SOLUTION: Please help me to figure out this word problem. Thank you. 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

Algebra ->  Algebra  -> Sequences-and-series -> SOLUTION: Please help me to figure out this word problem. Thank you. 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      Log On

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 Algebra: Sequences of numbers, series and how to sum them Solvers Lessons Answers archive Quiz In Depth

 Click here to see ALL problems on Sequences-and-series Question 84882: Please help me to figure out this word problem. Thank you. 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.Answer by Earlsdon(6294)   (Show Source): 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. +...+ It can be shown that the sum of all the terms in such a progression is given by: In your problem, n = 30 (the number of days), so, the total number of cents (S) received for 30-days work would be: cents. Multiply by 100 to find the number of dollars. The employee receives \$10,737,418.23 for 30-days work.