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    Which of the following numbers will replace the question mark (?) in the given series? 2,14,70,210,?
    Question

    Which of the following numbers will replace the question mark (?) in the given series?
    2,14,70,210,?

    A.

    410

    B.

    420

    C.

    630

    D.

    210

    Correct option is D

    The sequence given is: 2,14,70,210,?

    We need to identify the logic connecting the numbers and find the next term.

    Step 2: Analyze the relationships between consecutive terms

    Relationship between 222 and 141414:

    Here, the second number is obtained by multiplying the first number by 777.

    Relationship between 141414 and 707070:

    Here, the third number is obtained by multiplying the second number by 555.

    Relationship between 707070 and 210210210:

    Here, the fourth number is obtained by multiplying the third number by 333.

    Step 3: Identify the pattern

    The multipliers between consecutive terms are:

    The pattern shows that the multipliers are decreasing by 222 each time:

    Step 4: Apply the pattern to find the next term

    To find the next term in the sequence, multiply 210210210 by the next multiplier, 111:

    Final Answer:

    The number that replaces the question mark is:D. 210

    Thus, the complete sequence is:

    2,14,70,210,?2, 14, 70, 210, ?2,14,70,210,?14=2×714 = 2 \times 7
    14=2×770=14×570 = 14 \times 570=14×5210=70×3210 = 70 \times 3210=70×3
    ? = 210 = 210×1

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