Answer:
$1568
Explanation:
Given the account value in year n is a(n) = 1400 +(n -1)(0.02·1400), you want the account value in year 7.
Function value
Using 7 for n, we have ...
a(7) = 1400 +(7 -1)(0.02·1400) = 1400 +6(28) = 1568
In year 7 you will have $1568.
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Additional comment
The given equation is a bit unusual. It tells you the value in the first year is $1400, the second year: $1428, increasing by $28 each year. Often, interest rate problems ask for a value after some number of years. That's not what the given equation tells you.
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