You borrow $400 from a friend the first week and pay the friend back $10 each week thereafter. Write the first six terms in the sequence. Explain what the sixth term means in the context of the situation.
The sequence represents the amount of money you owe to your friend each week.
The first term is $400 because that's the amount you borrowed from your friend initially.
The second term is $390 because you pay back $10 each week, so after the first week, you will owe your friend $400 - $10 = $390.
The third term is $380 because after another week, you will owe your friend $390 - $10 = $380.
Following the same logic, the fourth term is $370, the fifth term is $360, and the sixth term is $350.
In the context of the situation, the sixth term represents the amount of money you will owe your friend after six weeks of borrowing and gradually paying back $10 each week.