Math Problem Statement
Solution
Let us analyze and solve the provided problem from the image.
Problem 28:
The sequence given is: ACD, EEF, IGH, ..., UKC
We are asked to find the missing term in the sequence. The options are:
(A) OMN
(B) UIJ
(C) OIJ
(D) OLJ
Step-by-step Solution:
-
First letters in each group:
- A → E → I → ?
- The sequence increases by 4 letters: A (+4) = E, E (+4) = I.
- The next letter after I is I (+4) = M.
- A → E → I → ?
-
Second letters in each group:
- C → E → G → ?
- The sequence increases by 2 letters: C (+2) = E, E (+2) = G.
- The next letter after G is G (+2) = I.
- C → E → G → ?
-
Third letters in each group:
- D → F → H → ?
- The sequence increases by 2 letters: D (+2) = F, F (+2) = H.
- The next letter after H is H (+2) = J.
- D → F → H → ?
Missing group: MIJ
Checking the options, none of the options directly match MIJ, so the closest logical sequence might need manual context verification.
Would you like further clarifications or details? Let me know.
Questions for practice:
- How do patterns in letter sequences differ from numeric ones?
- What are common strategies for finding missing terms in sequences?
- Can letter patterns involve non-linear steps? Provide examples.
- What happens when overlapping patterns for letters are combined?
- How does this sequence differ from a numerical Fibonacci sequence?
Tip: Always check the change between adjacent terms (in letters or numbers) to identify a consistent pattern.
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Math Problem Analysis
Mathematical Concepts
Letter sequences
Pattern recognition
Formulas
Incremental letter positioning using alphabetical order
Theorems
None
Suitable Grade Level
Grades 6-8