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1984 AMC 12 Question 12

AMC12 · 1984 AMC 12

Question 12

If the sequence $\{a_n\}$ is defined by $$
\begin{aligned} a_1&=2,\\ a_{n+1}&=a_n+2n\quad(n\ge1), \end{aligned}
$$ then $a_{100}$ equals
  1. $9900$
  2. $9902$
  3. $9904$
  4. $10100$
  5. $10102$