Final answer:
Each term in Pattern V is 60 larger than the corresponding term in Pattern U, as the pattern adds 90 compared to 30 in Pattern U.
None of the given answer choices matches this difference.
Step-by-step explanation:
The question presents two arithmetic sequences or patterns, with Pattern U starting at a certain number and adding 30 repeatedly, while Pattern V starts at the same number but adds 90 each time.
To understand the relationship between the corresponding terms in these two patterns, we need to compare the amount each term increases by.
If you add 30 to any starting number to get the next term in Pattern U, and add 90 to the same starting number in Pattern V, it's evident that each term in Pattern V will be larger than the term at the same position in Pattern U.
To calculate the exact difference, we can subtract the amount added in Pattern U from the amount added in Pattern V: 90 - 30 = 60. This reveals that each term in Pattern V is 60 larger than the corresponding term in Pattern U. However, none of the given answer choices reflect the correct difference. It seems there may be an error in the provided options.
Through this process, we can see that the correct relationship between Pattern U and Pattern V is that the terms in Pattern V are larger than those in Pattern U by the difference between their respective amounts added to each term. This conclusion is derived from the basic principles of arithmetic sequences and the property that adding larger numbers results in larger subsequent terms.