Question

At Modern Fashion, each week that a coat that costs $120 does not sell the price is reduced, the sequence describes the deduction in the price: $120.00, $107.50, $95.00, $82.50 What will be the price of the coat after the sixth week? Write the recursive and explicit for Modern Fashion. ​

Answer 1

The price of the coat is reduced by $12.50 each week.

After the sixth week, the price of the coat will be $57.50.

Recursive formula: P(n) = P(n-1) - 12.50, where P(n) is the price of the coat on the nth week.

Explicit formula: P(n) = 132.50 - 12.50n, where P(n) is the price of the coat on the nth week.

Answer 2

Answer:$57.50

Explanation:

Recursive formula:

Let P(n) represent the price of the coat in the nth week.

P(n) = P(n-1) - $12.50

Explicit formula:

To find the price of the coat in any given week directly, we can use the following formula:

P(n) = $120 - $12.50 * (n-1)

Using the explicit formula, we can calculate the price after the sixth week:

P(6) = $120 - $12.50 * (6 - 1)

= $120 - $12.50 * 5

= $120 - $62.50

= $57.50

i think