SOLUTION: A Daily Tripling Salary: Suppose someone offered you a job for 10 days under the following conditions. You will be paid $5 for the first day, $15 for the second, and $45 for the t

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Question 474095: A Daily Tripling Salary:
Suppose someone offered you a job for 10 days under the following conditions. You will be paid $5 for the first day, $15 for the second, and $45 for the third, and so on, tripling your previous day's salary each day. How much would you earn altogether?

Found 2 solutions by htmentor, ewatrrr:
Answer by htmentor(1343) About Me  (Show Source):
You can put this solution on YOUR website!
A Daily Tripling Salary:
Suppose someone offered you a job for 10 days under the following conditions. You will be paid $5 for the first day, $15 for the second, and $45 for the third, and so on, tripling your previous day's salary each day. How much would you earn altogether?
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The salary represents a geometric sequence with common ratio 3.
The sum of the 1st n terms of a geometric sequence is
S_n+=+a1%281-r%5En%29%2F%281-r%29 where r = the common ratio, a1 = the 1st term
So the total salary after the 10th day would be:
S_10+=+5%281-3%5E10%29%2F%281-3%29
This gives S_10 = $147,620

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 
Hi,
sum%28+5%2A3%5E%28n-1%29%2C+n=1%2C+10+%29
5
15
45
135
405
1215
3645
10935
32805
98415
highlight%28147620%29 dollars earned altogether