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    Choose the next term of the series A4C, E36G, I100K, _______.
    Question

    Choose the next term of the series A4C, E36G, I100K, _______.

    A.

    L169M

    B.

    N225O

    C.

    M196O

    D.

    M169O

    Correct option is C

    To find the next term, let's break down the given series:

    1. First Character:

      • A → E → I → M
        The first characters are progressing alphabetically with an increment of 4 positions:

      • A → E (4th position ahead)

      • E → I (4th position ahead)

      • I → M (4th position ahead)

    2. Middle Number:

      • 4 → 36 → 100 → 196

        The numbers are squares of even numbers, with the even numbers increasing by 4 (2, 6, 10, 14).
        These numbers are following the pattern of squares of even numbers:

      • 2² = 4

      • 6² = 36

      • 10² = 100

      • 14² = 196 (following the square pattern, the next number is 14²)

    3. Last Character:

      • C → G → K → O
        The last characters are progressing alphabetically with an increment of 4 positions:

      • C → G (4th position ahead)

      • G → K (4th position ahead)

      • K → O (4th position ahead)

    So, the next term is M196O.

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