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2002 AMC 10B Question 19

AMC10 · 2002 AMC 10B

Question 19

Suppose that $\{a_n\}$ is an arithmetic sequence with $$
a_1 + a_2 + \cdots + a_{100} = 100
$$ and $$
a_{101} + a_{102} + \cdots + a_{200} = 200.
$$ What is the value of $a_2 - a_1?$
  1. $0.0001$
  2. $0.001$
  3. $0.01$
  4. $0.1$
  5. $1$