Maura's Pizzeria made 5 pizzas on Thursday, 25 pizzas on Friday, 125 pizzas on Saturday, and 625 pizzas on Sunday. What kind of sequence is this?

1 answer

The number of pizzas made each day at Maura's Pizzeria forms a geometric sequence. In a geometric sequence, each term is obtained by multiplying the previous term by a constant (called the common ratio).

Let's analyze the number of pizzas made each day:

  • Thursday: 5 pizzas
  • Friday: 25 pizzas
  • Saturday: 125 pizzas
  • Sunday: 625 pizzas

To find the common ratio, we can divide each term by the previous term:

  • From Thursday to Friday: \( \frac{25}{5} = 5 \)
  • From Friday to Saturday: \( \frac{125}{25} = 5 \)
  • From Saturday to Sunday: \( \frac{625}{125} = 5 \)

Since the common ratio is consistently \(5\), we can conclude that the sequence is indeed a geometric sequence with a common ratio of \(5\).