Math Problem Statement

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Suku ke-5 dan ke-6 dari barisan huruf A, E, I, M, ..... adalah?

Solution

Based on the image, the problem asks for the 5th and 6th terms in a sequence formed by the letters "A, E, I, M, ...".

Step-by-step analysis:

  1. The letters given are "A, E, I, M", and we are looking for the next two letters.

  2. This sequence appears to be following a pattern in the alphabet:

    • A (1st letter)
    • E (5th letter)
    • I (9th letter)
    • M (13th letter)
  3. The positions of the letters in the alphabet are increasing by 4 each time:

    • A=1A = 1
    • E=5E = 5
    • I=9I = 9
    • M=13M = 13
  4. Continuing this pattern:

    • 13+4=1713 + 4 = 17, which corresponds to the letter Q.
    • 17+4=2117 + 4 = 21, which corresponds to the letter U.

Conclusion:

  • The 5th and 6th letters in the sequence are Q and U, respectively.

Thus, the correct answer is Option D: Q, U.


Would you like further details on this solution or related concepts? Here are 5 related questions:

  1. What is the general formula for finding the nth term of this sequence?
  2. Can this pattern be considered arithmetic? Why?
  3. What are other common types of letter sequences in logic puzzles?
  4. How would the sequence change if the increment between letters was different?
  5. What are some other sequences that increase by a constant difference?

Tip: Identifying the pattern in sequences often involves finding a consistent numerical relationship between elements.

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Math Problem Analysis

Mathematical Concepts

Sequences
Alphabetical Patterns

Formulas

Position in the alphabet incremented by 4

Theorems

Arithmetic sequence

Suitable Grade Level

Grades 6-8