nilai dari 1/7-2/7+3/7-4/7+5/7...-2014/7=a/b, maka nilai a+b=

Bab Bilangan

1 - 2 = -1
3 - 4 = -1
5 - 6 = -1
...
2013 - 2014 = -1

Jumlah angka -1
= Bilangan terakhir/2
= 2014/2
= 1.007 kali

Maka
1/7 - 2/7 + 3/7 - 4/7 + ... - 2014/7
= (-1 - 1 - 1 - ... - 1)/7
= 1.007(-1)/7
= -1.007/7

a = -1.007
b = 7

a + b = -1.007 + 7 = -1.000