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1958 AMC 12 Question 37

AMC12 · 1958 AMC 12

Question 37

The first term of an arithmetic series of consecutive integers is $k^2+1.$ The sum of $2k+1$ terms of this series may be expressed as:
  1. $k^3+(k+1)^3$
  2. $(k-1)^3+k^3$
  3. $(k+1)^3$
  4. $(k+1)^2$
  5. $(2k+1)(k+1)^2$