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1968 AMC 12 Question 5

AMC12 · 1968 AMC 12

Question 5

If $f(n)=\dfrac13n(n+1)(n+2),$ then $f(r)-f(r-1)$ equals:
  1. $r(r+1)$
  2. $(r+1)(r+2)$
  3. $\dfrac13r(r+1)$
  4. $\dfrac13(r+1)(r+2)$
  5. $\dfrac13r(r+1)(r+2)$