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2018 AMC 10B Problem 20

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2018 AMC 10B Problem 20AMC 10 Step by Step
Name:                             Date: September 13, 2026
Sequences & Series · difficulty 3 of 5 · about 5 min · position P16-20

A function ff is defined recursively by f(1)=f(2)=1f(1)=f(2)=1 and f(n)=f(n−1)−f(n−2)+nf(n)=f(n-1)-f(n-2)+n for all integers n≥3n \geq 3 . What is f(2018)f(2018) ?

  1. A)

    20162016

  2. B)

    20172017

  3. C)

    20182018

  4. D)

    20192019

  5. E)

    20202020

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