The center section of a
theater has 10 rows. There are 41 seats in
row 10, 38 seats in row 9, 35 seats in row 8,
and so on. How many seats are in row 1?         give me a hint

To find the number of seats in row 1, you can notice that the number of seats in each row decreases by a consistent amount as you move from row 10 to row 1. Specifically, the difference between the seats in each row is constant.

**Hint:** Look at the pattern in the number of seats: Row 10 has 41 seats, row 9 has 38 seats, row 8 has 35 seats. What is the common difference between the seats in consecutive rows? Use this to work backward to find the number of seats in row 1.

Would you like to proceed with more details or have questions? 

Here are some related questions to deepen understanding:

1. What is the formula for finding the nth term in an arithmetic sequence?
2. Can you explain why this is an arithmetic sequence?
3. How would you calculate the total number of seats in all 10 rows?
4. What if the pattern increased instead of decreasing by the same amount?
5. How does understanding arithmetic sequences help in other real-life problems?

**Tip:** Always check for patterns in numbers; they can help simplify complex problems.

The center section of a theater has 10 rows. There are 41 seats in row 10, 38 seats in row 9, 35 seats in row 8, and so on. How many seats are in row 1? give me a hint

Learn how to find the number of seats in row 1 of a theater where the number of seats follows an arithmetic sequence. The seats decrease by a constant value starting with 41 seats in row 10. Understand how to use the nth term formula of arithmetic sequences, perfect for students in Grades 6-8.

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