i.
To state: The value of d if the balances shown in the table below from an arithmetic sequence. The table shows December balance in a simple interest savings account each year from 2014 through 2018.
The resultant answer is 2016.
Given information:
The given table is:
Explanation:
The balance shows an arithmetic sequence and the difference of any two successive savings account balances will be the common ratio.
Then the common difference is:
Therefore, the common difference d is equal to 2016.
ii.
To state: The formula for the balance in the account n year after December 2014.
The formula is
Given information:
The value of d from part (a) is 2016 and the given table is:
Explanation:
Consider the given table:
The value of d from part (a) is 2016 it means every year, the balance becomes 2016 more than the previous years’ balance.
Then the formula for the balance in the account n years after December 2014 will become:
Therefore, the formula is
iii.
To calculate: The sum of the December balances from 2014 to2024, inclusive.
The answer is
Given information:
The value of d from part (a) is 2016 and the given table is:
Formula used: The sum of a finite arithmetic sequence
Calculation:
Consider the given table:
The total number of years from 2014 to 2024 inclusive is 11. Then the value n is 11.
Substitute the values in the sum formula
Therefore, the sum is
Chapter 9 Solutions
PRECALCULUS:GRAPHICAL,...-NASTA ED.
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