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    What will be the next term in the given series25,49,81,121,169,… 25, 49, 81, 121, 169, \ldots 25,49,81,121,169,…​
    Question

    What will be the next term in the given series

    25,49,81,121,169, 25, 49, 81, 121, 169, \ldots

    A.

    361

    B.

    225

    C.

    269

    D.

    389

    Correct option is B

    Given Sequence:

    25, 49, 81, 121, 169, \ldots

    Analysis:

    1. These are all perfect squares of consecutive odd numbers:
    - 25 = 52^2
    - 49 = 72^2
    - 81 = 92^2
    - 121 = 112^2
    - 169 = 132^2

    2. The next number in the sequence will be the square of the next odd number:
    - Next odd number: 15
    - Square: 152^2​ = 225

    Final Answer:

    The next number in the sequence is 225

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