(1/2 + 1/3 + 1/4 + ... + 1/2017) = a
(a + 1/2018)(1 + a) - (1 + a + 1/2018)(a)
= a + a² + 1/2018 + a/2018 - a - a² - a/2018
= a - a + a² - a² + a/2018 - a/2018 + 1/2018
= 1/2018
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(1/2 + 1/3 + 1/4 + ... + 1/2017) = a
(a + 1/2018)(1 + a) - (1 + a + 1/2018)(a)
= a + a² + 1/2018 + a/2018 - a - a² - a/2018
= a - a + a² - a² + a/2018 - a/2018 + 1/2018
= 1/2018