You borrow $550 from a friend the first week and pay the friend back $20 each week thereafter. Write the first six terms in the sequence. Explain what the sixth term means in the context of the situation.

Question

You borrow $550 from a friend the first week and pay the friend back $20 each week thereafter. Write the first six terms in the sequence. Explain what the sixth term means in the context of the situation.

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Part 1
Write the first six terms in the sequence.

Answer 1

The first term in the sequence is $550, which represents the initial amount borrowed from the friend.

The second term is $530, which represents the amount remaining after paying back $20 in the first week.
The third term is $510, which represents the amount remaining after paying back $20 in the second week.
The fourth term is $490, which represents the amount remaining after paying back $20 in the third week.
The fifth term is $470, which represents the amount remaining after paying back $20 in the fourth week.
The sixth term is $450, which represents the amount remaining after paying back $20 in the fifth week.

Part 2
The sixth term in the sequence, $450, means that after the fifth week of paying back $20 each week, there is $450 remaining to be paid back to the friend.

You borrow ​$550 from a friend the first week and pay the friend back ​$20 each week thereafter. Write the first six terms in the sequence. Explain what the sixth term means in the context of the situation.

The first term in the sequence is $550, which represents the initial amount borrowed from the friend.

You borrow $550 from a friend the first week and pay the friend back $20 each week thereafter. Write the first six terms in the sequence. Explain what the sixth term means in the context of the situation.