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Find the missing term in the sequence: 35, 70, 140, 280, ___

Mathematics

ScanSolve AI Answer

Answer

B

Step-by-step solution

2 steps

To complete the pattern, we need to find the relationship between consecutive numbers.

  1. Find the ratio between consecutive terms.

    Divide the second term by the first term:

    70÷35=270 \div 35 = 2

    Divide the third term by the second term:

    140÷70=2140 \div 70 = 2

    Divide the fourth term by the third term:

    280÷140=2280 \div 140 = 2

    The pattern is that each term is multiplied by 2 to get the next term.

  2. Apply the pattern to find the missing term.

    The last given term is 280. To find the next term, multiply 280 by 2.

    280×2=560280 \times 2 = 560

    The missing term in the pattern is 560.

    Comparing this with the given options:
    A. 420
    B. 560
    C. 350
    D. 400

    The correct option is B.

    The final answer is 560\boxed{\text{560}}.

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