Mathematics, 02.09.2021 02:20 holmesleauja
For which other positive integers a, less than 11, will the number (a^n) + (a^(n+1)) + (a^(n+2)) + (a^(n+3)) + (a^(n+4)) always be divisible by 11?
For example, (4^n) + (4^(n+1)) + (4^(n+2)) + (4^(n+3)) + (4^(n+4)) is always divisible by 11, no matter what number n is equal to.
Please help and answer with the entire explanation.
I am struggling so hard... :(
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For which other positive integers a, less than 11, will the number (a^n) + (a^(n+1)) + (a^(n+2)) + (...
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