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2024 AMC 10B Problem 24

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2024 AMC 10B Problem 24AMC 10 Step by Step
Name:                             Date: September 13, 2026
Modular Arithmetic · difficulty 4 of 5 · about 5 min · position P21-25

Let P(m)=m2+m24+m48+m88P(m)=\frac{m}{2}+\frac{m^2}{4}+\frac{m^4}{8}+\frac{m^8}{8} How many of the values P(2022)P(2022) , P(2023)P(2023) , P(2024)P(2024) , and P(2025)P(2025) are integers?

  1. A)

    00

  2. B)

    11

  3. C)

    22

  4. D)

    33

  5. E)

    44

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