i.
To state: The first term and the common ratio r if Mr. O’Hara deposits $120 at the end of each month into an account that pays 7 percent interest compounded monthly. After 10 years, the balance in the account, in dollars, is
The first term 120 and common ratio
Given information:
After 10 years, the balance in the account, in dollars, is
Explanation:
The given sequence is:
The balance shows a geometric sequence. The first term of the sequence is:
Then the common ratio is:
Therefore, the common ratio r is equal to
ii.
To calculate: The sum of geometric sequence of the balance.
The answer is
Given information:
After 10 years, the balance in the account, in dollars, is
Formula used: The sum of a finite geometric sequence
Calculation:
Consider the given sequence:
The sequence starts from 0 to 119, so there are 120 terms in the sequence.
Substitute the values in the sum formula
Therefore, the sum is
Chapter 9 Solutions
PRECALCULUS:GRAPHICAL,...-NASTA ED.
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