Answer:
The explicit rule for amount of money Heather has in her account after n weeks is .
Step-by-step explanation:
It is given that Heather opens a bank account with $125. Each week, starting the second week, she deposits $25 into her account.
It means the initial amount is 125 and the common difference is 25. The sequence is
125, 150, 175,...
The explicit rule is
Where, a is first term and d is common difference.
The explicit rule for amount of money Heather has in her account after n weeks is
Therefore the explicit rule for amount of money Heather has in her account after n weeks is .