What is the pattern rule that is used to get the next term in the pattern?8, 32, 128, 512, ...multiply by 8multiply by 4 add 96add 24

Break Down the Problem

1. Identify the given sequence of numbers: 8, 32, 128, 512.
2. Determine how each term relates to the previous term.

Relevant Concepts

The common arithmetic or geometric operations to identify the pattern in the sequence are multiplication or addition.

Analysis and Detail

1. To find the relation between the terms:
   • The first term is $8$.
   • The second term is $32$. To get from $8$ to $32$: $8 \times 4 = 32$
   • The third term is $128$. To get from $32$ to $128$: $32 \times 4 = 128$
   • The fourth term is $512$. To get from $128$ to $512$: $128 \times 4 = 512$

Verify and Summarize

From the analysis, we observe that each term is obtained by multiplying the previous term by $4$.

Final Answer

The pattern rule to get the next term in the sequence is to multiply by 4.