AMC8 2018

AMC8 2018 · Q5

AMC8 2018 · Q5. It mainly tests Fractions, Arithmetic misc.

What is the value of $1+3+5+\dots+2017+2019-2-4-6-\dots-2016-2018$?

计算 $1+3+5+\dots+2017+2019-2-4-6-\dots-2016-2018$ 的值？

(A) -1010 -1010

(B) -1009 -1009

(D) 1009 1009

(E) 1010 1010

Answer

Correct choice: (E)

正确答案：（E）

Solution

Answer (E): The expression can be written as $1+(3-2)+(5-4)+(7-6)+\cdots+(2019-2018)=1+\frac{2018}{2}=1010$.

答案（E）：该表达式可以写成 $1+(3-2)+(5-4)+(7-6)+\cdots+(2019-2018)=1+\frac{2018}{2}=1010$。

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