Question

what is the value of 0-1+2-3+4-5+6-7... ... ... ... ... ... ... ..+16-17+18-19+20

Answer 1

the answer is 10
hope this helps you
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0-1+2-3+4-5+6-7+8-9+10-11+12-13+14-15+26+17+18-19+20

0+ (-1+2)+(-3+4)+(-5+6)+(-7+8)+(-9+10)+(-11+12)+(-13+14)+(-15+16)+(-17+18)+(-19+20)

0+1+1+1+1+1+1+1+1+1+1
= 10

Answer 2

$\textbf{Answer :}$

The given series is

0 - 1 + 2 - 3 + 4 - 5 + 6 - 7 + ... ... ... + 16 - 17 + 18 - 19 + 20

= (0 + 2 + 4 + 6 + 8 + 10 + 12 + 14 + 16 + 18 + 20)
- (1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 + 19)

= 110 - 100

= 10

It is a easy calculation. We can also try it using two different AP series; one of even numbers and one of odd numbers.

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