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.

1 answer

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.