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1957 AMC 12 Question 30

AMC12 · 1957 AMC 12

Question 30

The sum of the squares of the first $n$ positive integers is given by the expression $\dfrac{n(n+c)(2n+k)}6,$ if $c$ and $k$ are, respectively:
  1. $1$ and $2$
  2. $3$ and $5$
  3. $2$ and $2$
  4. $1$ and $1$
  5. $2$ and $1$