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Given following sequence, find the next term in the series:
Q. 3, 6, 13, 26, 33, 66, ___
    Correct answer is '53'. Can you explain this answer?
    Most Upvoted Answer
    Given following sequence, find the next term in the series:Q. 3, 6, 13...
    Solution:

    The given sequence is not following any arithmetic or geometric progression. So, we need to find out some other pattern in the given sequence.

    Observation:

    - The given sequence has a mix of odd and even numbers.
    - The odd numbers in the sequence are prime numbers.
    - The even numbers in the sequence are twice the previous number.

    Using the above observations, we can find the next term as follows:

    - The previous term is 66, which is even and twice the previous term (33).
    - The next term should be an odd prime number that is not in the sequence yet.
    - The next odd prime number after 33 is 37.
    - But 37 is not twice any previous term in the sequence.
    - So, we need to look for the next odd prime number that is twice a previous term.
    - The next odd prime number that is twice a previous term is 53 (26 x 2 = 52, which is even and the next odd prime number after 52 is 53).
    - Therefore, the next term in the sequence is 53.

    Hence, the correct answer is '53'.
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    Community Answer
    Given following sequence, find the next term in the series:Q. 3, 6, 13...
    There are 2 series
    1) 3, 13, 33, _
    2) 6, 26, 66, _
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    Given following sequence, find the next term in the series:Q. 3, 6, 13, 26, 33, 66, ___Correct answer is '53'. Can you explain this answer?
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    Given following sequence, find the next term in the series:Q. 3, 6, 13, 26, 33, 66, ___Correct answer is '53'. Can you explain this answer? for Quant 2025 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about Given following sequence, find the next term in the series:Q. 3, 6, 13, 26, 33, 66, ___Correct answer is '53'. Can you explain this answer? covers all topics & solutions for Quant 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Given following sequence, find the next term in the series:Q. 3, 6, 13, 26, 33, 66, ___Correct answer is '53'. Can you explain this answer?.
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