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2002 AMC 10B Problem 19

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2002 AMC 10B Problem 19AMC 10 Step by Step
Name:                             Date: September 13, 2026
Sequences & Series · difficulty 3 of 5 · about 3 min · position P16-20

Suppose that {an}\{a_n\} is an arithmetic sequence with a1+a2+⋯+a100=100 and a101+a102+⋯+a200=200.a_1+a_2+\cdots+a_{100}=100 \text{ and } a_{101}+a_{102}+\cdots+a_{200}=200. What is the value of a2−a1 ?a_2 - a_1 ?

  1. A)

    0.00010.0001

  2. B)

    0.0010.001

  3. C)

    0.010.01

  4. D)

    0.10.1

  5. E)

    11

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