Question

today we will learn about sequences!
in math, a sequence is a list of numbers that has a pattern. each number in the list is called a \term\.

here are some examples of sequences:

1, 2, 4, 8, 16, 32, 64, ...

5, 7, 9, 11, 13, ...

1, 4, 9, 16, 25, 36, ...

choose one of the sequences:

1. describe the pattern you notice.

1. use your pattern to find the next term.

Explanation:

Step1: Choose a sequence (e.g., 1, 2, 4, 8, 16, 32, 64, ...)

Step2: Describe the pattern

Each term is multiplied by 2 to get the next term. $1\times2 = 2$, $2\times2 = 4$, $4\times2 = 8$, etc.

Step3: Find the next term

The last given term is 64. Multiply by 2: $64\times2 = 128$.

Answer:

For the sequence 1, 2, 4, 8, 16, 32, 64, ...:

1. Pattern: Each term is double the previous term (multiply by 2).
2. Next term: 128.