Answer
The function rule for this sequence would be
A(n)=350-25(n-1).
The first six terms would be 350 ,325, 300, 275, 250, 225
After 6 weeks, you owe $225
Work Step by Step
1. The explicit formula is A(n)=350-25(n-1)
Because the sequence is in the form of A(n)=A(1)-d(n-1) and the value of A(1) is 350 as in the first week, you borrowed 350 dollars which is what you owe. The value of d is -25 as you pay 25 dollars every week and thus decrease the amount you owe.
2.
First term --> A(1)= 350-25(1-1). = 350-25(0) = 350
Second term --> A(2)= 350-25(2-1). = 350-25(1) = 350-25= 325
Third term --> A(3)= 350-25(3-1). = 350-25(2) = 350-50 = 300
Fourth term --> A(4)=350-25(4-1). = 350-25(3) = 350-75= 275
Fifth term --> A(5)= 350-25(5-1). = 350-25(4) = 350-100 = 250
Sixth term --> A(6)= 350-25(6-1). = 350-25(5) =350-125 = 225
