To find the corresponding term in Pattern G when the number in Pattern H is 48, we need to establish the relationship between Pattern G and Pattern H.
Let's first identify Pattern G:
- Pattern G appears to be an arithmetic sequence where each term increases by 2:
- \( G(1) = 2 \)
- \( G(2) = 4 \)
- \( G(3) = 6 \)
- \( G(4) = 8 \)
- ...
In fact, the \( n \)-th term of Pattern G can be given by the formula: \[ G(n) = 2n \]
Now, if we need to find the corresponding term in Pattern H when the number is 48, we need to find a \( n \) such that: \[ G(n) = 48 \] \[ 2n = 48 \] \[ n = 24 \]
Next, if you're referring to a specific relationship that defines Pattern H, you would need to provide what Pattern H looks like in order to extract the corresponding term. If Pattern H is defined in a similar arithmetic style or has a particular relationship with Pattern G, please specify that, and I can offer a more precise answer.
If you would like me to assume a direct relationship (e.g., the 24th term based on the formula above), there may be a straightforward answer related to the rules of both patterns. Please clarify the exact relationship or values found in Pattern H for precise guidance!