Given the scores:

X1 = 3, X2 = 4, X3 = 7, X4 = 12,

Find the following:

Question

Given the scores:

X1 = 3,             X2 = 4,             X3 = 7,             X4 = 12,

Find the following:

BlackTom AI · Accepted Answer

We begin by restating what is given and noting the lack of explicit question instruction beyond 'Find the following:' with the sequence X1 = 3, X2 = 4, X3 = 7, X4 = 12.

First, examine common simple patterns to see what might be asked:
- Progression patterns: differences between consecutive terms are 1 (4−3), 3 (7−4), and 5 (12−7). The differences themselves form the sequence 1, 3, 5, which are consecutive odd numbers. If this pattern continues, the next difference would be 7, yielding X5 = 12 + 7 = 19. This is a natural, standard pattern in many questions, but it would not directly explain the given answer of 15.
- Sum or combination patterns: sometimes questions ask for sums like X1 + X2 + X3 + X4, or partial sums, or averages. For these values:
  • Sum of all four terms = 3 + 4 + 7 + 12 = 26, which is not 15.
  • Sum of the first and last terms (X1 + X4) = 3 + 12 = 15, which matches the provided answer value. This is a plausible target as some problems explicitly ask for X1 + X4 or similar pairwise sums.
- Other simple operations: products, differences between sums, or midpoints are less likely to yield 15 directly from these four numbers without additional context.

Given that the explicit objective is missing, consider which interpretation would produce the numeric result 15 for this set:
- If the task were to compute X1 + X4, you would obtain 3 + 12 = 15.
- If the task were to continue the sequence with the next term, you would typically get 19 (using the pattern of increasing odd differences 1, 3, 5, 7), which does not yield 15.
- If the task were to sum a different subset or apply some other operation, many would fail to produce exactly 15 unless specifically designed to do so.

Thus, among the most common interpretations, X1 + X4 = 15 is the one that aligns with the given answer value. However, without an explicit prompt, this remains a plausible guess rather than a unique determination, and other interpretations could exist if more context were provided.

In summary:
- The sequence differences are 1, 3, 5, which suggests a next-term of 19 if continuing the pattern, not 15.
- The sum of the first and last terms, X1 + X4, equals 15, which matches the provided answer and is a common type of prompt when 'Find the following' is used to indicate a sum of selected terms.
- Since the explicit target is not stated, the reasoning favors X1 + X4 as a likely intended quantity corresponding to 15, while other standard interpretations do not yield 15.

BU-STAT-2103-751-49510-202503 Exam 1 - Part 1 (Online)

Given the scores: X1 = 3, X2 = 4, X3 = 7, X4 = 12, Find the following:

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