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a^n + a^(n+1) + a^(n+2) + a^(n+3) is divisible by which number: factor out a^n

The same question, asked 2 times: CDS 1 2018*, CDS 1 2022. Every wording below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    CDS 1 2018

    1
    517+518+519+5205^{17} + 5^{18} + 5^{19} + 5^{20} is divisible by

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  2. Question 2

    CDS 1 2022

    4
    461+462+463+4644^{61} + 4^{62} + 4^{63} + 4^{64} is divisible by

    Tap an option to check your answer.