Question

value of 4( -1+2-3+4-5+6-7+....+1000 terms ) is​

Answer 1

Answer:

500

Step-by-step explanation:

1+2-3+4-5+6-7...+1000

we can separate this into two series as below

-(1+3+5+7...+999)+(2+4+6+8...+1000)

Apply formula for odd and even series

=-(n^2)+(n(n+1))

=-n^2+n^2+n

=n

ans=500