You borrow $600 from a friend the first week and pay the friend back $20 each week thereafter. Write the first sox terms in the sequence. Explain what the sixth term means in the context of the situation. Write the first six terms in the sequence. The first term is Box The second term is The third term is The fourth term is The filth term is The sixth term is
The first term in the sequence would be $600, as that is the initial amount borrowed from the friend.
The second term in the sequence would be $580, as a payment of $20 is deducted from the initial amount each week.
The third term in the sequence would be $560, as another $20 is deducted from the second term.
The fourth term in the sequence would be $540, as another $20 is deducted from the third term.
The fifth term in the sequence would be $520, as another $20 is deducted from the fourth term.
The sixth term in the sequence would be $500, as another $20 is deducted from the fifth term.
In the context of the situation, the sixth term represents the amount of money still owed to the friend after six weeks.
To find the first six terms in the sequence, we need to first determine the pattern based on the situation given.
From the problem, we know that you borrowed $600 from a friend. The first week, you borrow the full amount and then repay $20 each week thereafter.
Let's determine the sequence for the amounts borrowed each week:
- Week 1: $600 (full amount borrowed)
- Week 2: $600 - $20 = $580 (remaining amount owed after first repayment)
- Week 3: $580 - $20 = $560 (remaining amount owed after second repayment)
- Week 4: $560 - $20 = $540 (remaining amount owed after third repayment)
- Week 5: $540 - $20 = $520 (remaining amount owed after fourth repayment)
Based on this pattern, we can see that each week the remaining amount owed decreases by $20.
Now, let's write the first six terms in the sequence:
- First term: $600
- Second term: $600 - $20 = $580
- Third term: $580 - $20 = $560
- Fourth term: $560 - $20 = $540
- Fifth term: $540 - $20 = $520
- Sixth term: $520 - $20 = $500
So, in this scenario, the first six terms in the sequence are:
1st term: $600
2nd term: $580
3rd term: $560
4th term: $540
5th term: $520
6th term: $500
In the context of the situation, the sixth term, $500, represents the remaining amount owed to your friend after repaying them $20 each week for six weeks.
To find the first six terms in the sequence, we can start with the initial borrowing amount of $600 and subtract $20 each week.
The first term: $600 (initial borrowing amount)
The second term: $600 - $20 = $580
The third term: $580 - $20 = $560
The fourth term: $560 - $20 = $540
The fifth term: $540 - $20 = $520
The sixth term: $520 - $20 = $500
In the context of the situation, the sixth term represents the amount remaining to be paid back after six weeks. By subtracting $20 each week, the borrower has paid a total of $120 ($20 x 6 weeks) back to the friend, and $500 is the remaining amount owed.