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1975 AMC 12 Question 10

AMC12 · 1975 AMC 12

Question 10

The sum of the digits in base ten of $\left(10^{4n^2+8}+1\right)^2,$ where $n$ is a positive integer, is
  1. $4$
  2. $4n$
  3. $2+2n$
  4. $4n^2$
  5. $n^2+n+2$