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krek1111 [17]
3 years ago
9

Is the number even or odd?2018−2017+2016−2015 + . . . +2–1

Mathematics
1 answer:
scoundrel [369]3 years ago
5 0

Answer:

It is the odd number 1009

Step-by-step explanation:

Notice that this problem involves the addition of a number "1" per consecutive pair (a number minus the integer that immediately precedes it), so it adds "1" (one) every couple of consecutive numbers.

2018 - 2017 = 1

2016 - 2015 = 1

...

4- 3 = 1

2 - 1 = 1

That means it is the addition of 2018/2 = 1009 numbers "1". This clearly results on the number 1009, which is an odd number.

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