tinh nhanh
A=-1+3-5+7-9+...+2015-2017
B=2-4-6+8+10-12-14+16+...+98-100+102+104
Tính tổng
a)100+98+96+...+2-97-95-93-...-3
b) 2-4-6+8+10-12-14+16+...-102+104
c) 1+2-3-4+5+6-7-8+9+10-11-12+...-111-112+113+114
a) \(100+98+96+...+2-97-95-93-...-3\)
= \(100+98+\left(96-97\right)+\left(94-95\right)+...+\left(2-3\right)\)
= \(100+98-95\) = \(103\)
b) \(2-4-6+8+10-12-14+16+...-102+104\)
= \(\left(2-4\right)+\left(-6+8\right)+\left(10-12\right)+\left(-14+16\right)+...+\left(-102+104\right)\)
= \(-2+2-2+2-2+...+2\) = \(0\)
c) \(1+2-3-4+5+6-7-8+9+10-11-12+...-111-112+113+114\)
= \(\left(1+2\right)-\left(3+4\right)+\left(5+6\right)-\left(7+8\right)+...\left(113+114\right)\)
= \(3-7+11-15+19-23+...+219-223+227\)
= \(\left(3-7\right)+\left(11-15\right)+\left(19-23\right)+...+\left(219-223\right)+227\)
= \(-4-4-4-4-...-4+227\)
= \(54\left(-4\right)+227\) = \(-216+227\) = \(11\)
Lm mấy bàj này gjúp mink nké !!! :)))))
a) 11-12+13-14+15-16+17-18+19-20
b) 101-102-(-103)-104-(-105)-106-(-107)-108-(-109)-110
c) 1-2+3-4+5-6+7-8+9-10+...+99-100
d) 1+3-5-7+9-11-..-397-399
e) 1-2-3-4+5-6-7-8+9-10-11-12+...+97-98-99-100
bạn vào câu hỏi tương tự đi, chắc là có đấy !!!
Bài 1:Tính tổng :
1.D=1+3-5+7+.........+2011
2.E=2-4+6-8+..........+2006-2008+2010-2012
3.F=2-4-6+8+810-12-14+16+...................+98-200-102+104
4.H=1+2-3-4+5+6-7-8+9+10-11-12+....................-111-112+113+114
Tính A = -1+3-5+7-...+2011
B = 2-4-6+8+10-12-14-16+...+98-100-102+104
C = 1-2+22_23+...+22016
tinh nhanh
4 + 8 + 12 + 16+... + 200
5 + 10 + 15 + 20 + ... +295 + 300
2+ 4 + 6 + 9 + ... + 98 + 100 - [ 1 + 3 + 5 + ... + 97 + 99]
1 - 2 + 3 - 4 + 5 - 6 + ... + 101 - 102 + 103
16 - 18 + 20 - 22 + 24 - 26+ ... + 64 - 66 + 68
1 + 2 + 3 - 4 - 5 - 6 + 7 + 8 + 9 - 10 - 11 - 12 + ... + 97 + 98 - 100 - 101 - 102
1 + 2 + 3 - 4 - 5 - 6 + 7 + 8 +9 - 10 - 11- 12 +..... + 97 + 98 + 99 - 100 - 101 - 102
1+2+3-4-5-6+7+8+9-10-11-12+.........+97+98+99-100-101-102
1+2+3-4-5-6+...+97+98+99-100-101-102
=(1+2+3-4-5-6)+...+(97+98+99-100-101-102) có 17 cặp số
=(-9)+(-9)....+(-9) 17 cặp số
=(-9).17=-153
1+2+3-4-5-6+7+8+9-10-11-12+...+97+98+99-100-101-102