Pre-Calculus, 9th edition
103

 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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