Question

Given the expression −1−(2−3)−(3−4)−⋯−(2015−2016)−(2016−2017)−2018, what is the simplified value of the expression?

Answer 1

it is like a -n-(n-1)=-n-n+1
=-2n+1
=-2(2018)+1
=-4036+1
=-4035

Answer 2

Answer: The value of the expression is -4.

Step-by-step explanation: Given expression is-

-1-(2-3)-(3-4)-...-(2015-2016)-(2016-2017)-2018.

This is a simple problem of algebra where we need to apply the rules of addition and subtraction. At first we will remove the brackets from the given expression, then we will try to cancel the terms as many as possible to arrive at the result.

So,

-1-(2-3)-(3-4)- . . . -(2015-2016)-(2016-2017)-2018

=-1-2+3-3+4-4+5-5+6- . . . -2015+2016-2016+2017-2018

=-3+2017-2018

=-3-1

=-4.

Thus, the result is -4.