Question

Elise's Bakery is getting more and more orders for blackberry pies. The bakers made 4 blackberry pies in April, 24 blackberry pies in May, 144 blackberry pies in June, and 864 blackberry pies in July. What kind of sequence is this?

Answer 1

To determine the type of sequence represented by the number of blackberry pies made each month, let's look at the values given:

- April: 4
- May: 24
- June: 144
- July: 864

Next, we can observe the ratio of consecutive terms to see if this is a geometric sequence:

\[
\frac{24}{4} = 6
\]
\[
\frac{144}{24} = 6
\]
\[
\frac{864}{144} = 6
\]

Each term is obtained by multiplying the previous term by 6. Therefore, we can conclude that the sequence is a geometric sequence with a common ratio of 6.

Thus, the kind of sequence this is is a **geometric sequence**.