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a) [(-13) + (-15)] + (-8)
= -28 - 8
= -36
b) 500 – (-200) – 210 - 100
= 500 + 200 – 210 - 100
= (500 + 200) - (210 + 100)
= 700 - 310
= 390
c) –(-129) + (-119) - 301 + 12
= 129 + 12 – 119 - 301
= (129 + 12) - (119 + 301)
= 141 – 420
= -279
d) 777 – (-111) – (-222) + 20
= 777 + 111 + 222 + 20
= (777 + 111 + 222) + 20
= 1110 + 20
= 1130
a) \(\left[\left(-13\right)+\left(-15\right)\right]+\left(-8\right)\)
\(=\left(-28\right)+\left(-8\right)\)
\(=-36\)
b) \(500-\left(-200\right)-210-100\)
\(=500+200-210-100\)
\(=700-210-100\)
\(=490-100\)
\(=390\)
c) \(-\left(-129\right)+\left(-129\right)-301+12\)
\(=129+\left(-129\right)-301+12\)
\(=0-301+12\)
\(=\left(-301\right)+12\)
\(=-289\)
d) \(777-\left(-111\right)-\left(-222\right)+20\)
\(=777+111+222+20\)
\(=888+222+20\)
\(=1110+20\)
\(=1130\)
B = 3 + 32 + 33 + ....... + 3100
3B = 3(3 + 32 + 33 + ....... + 3100)
3B = 32 + 33 + 34 + ......... + 3101
3B - B = (32 + 33 + 34 + ......... + 3101) - (3 + 32 + 33 + ....... + 3100)
2B = 3101 - 3
B = (3101 - 3) : 2
Câu A tương tự vậy nhé!
a, \(\left[\left(-8\right)+\left(-7\right)+\left(-10\right)\right]\) = -25
b, 555-(-333)-100-80 = 555 + 333 - 100 - 80
= 888-100-80
= 788 - 80
= 708
c, -(-229) +(-219) - 401 +12 = 229 - 219 - 401 + 12
= 10 + 12 - 401
= 22 - 401
= -379
d, 300 - (-200) - (-120) + 18 = 300 + 200 + 120 +18
= 620 + 18
= 638
Đăt A = \(\frac{1}{7}+\frac{1}{7^2}+\frac{1}{7^3}+......+\frac{1}{7^{100}}\)
\(\Rightarrow7A=1+\frac{1}{7}+\frac{1}{7^2}+.....+\frac{1}{7^{100}}\)
\(\Rightarrow7A-A=1-\frac{1}{7^{100}}\)
\(\Rightarrow6A=1-\frac{1}{7^{100}}\)
\(\Rightarrow A=\frac{1-\frac{1}{7^{100}}}{6}\)
A=1/15+1/21+1/28+....+1/190
1/2A=1/30+1/42+1/56+.....+1/380
1/2A=1/5.6+1/6.7+1/7.8+....+1/19.20
1/2A=1/5-1/6+1/6-1/7+1/7-1/8+......+1/19-1/20
1/2A=1/5-1/20
1/2A=3/20
A=3/20:1/2
A=3/10
500 – (–200 ) – 210 – 100;
= 500 + 200 – 210 – 100;
= 500 + 200 – (210 + 100)
= 700 – 310 = 390.