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| PAGE: 819 | SET: Exercises | PROBLEM: 103 |
Consider the choice A:
The sequence is 
.
Find whether the sequence is arithmetic or geometric sequence.
Find the common difference of first two terms.
Find the common difference of second and third terms.
Since 
, the sequence is a arithmetic sequence.
Find the sum of 
terms in the sequence.
Formula for sum of 
terms in the arithmetic sequence is 
where 
.
Substitute 
, 
and 
.
The total amount at the end of 
days is 
.
Consider the choice B:
The sequence is 
.
Find whether the sequence is arithmetic or geometric sequence.
Find the common difference of first two terms.
Find the common difference of second and third terms.
Since 
, the sequence is a not arithmetic sequence.
Find the common ratio of first two terms.
.
Find the common difference of second and third terms.
.
Since 
, the sequence is a geometric sequence.
Find the sum of 
terms in the sequence.
Formula for sum of terms in the geometric sequence is 
.
Substitute 
, 
and 
.
The total amount at the end of days is 
.
As 
, the choice B receives more money.
Choice A: The total amount at the end of days is .
Choice B: The total amount at the end of days is 
.
The choice B receives more money.
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