1*2*3*4*5*6*7. . .*100*199
cho a/2 = 1/1*2*3+ 2/2*3*4+3/5*6*7+...+100/199*200*201 tính A/2
tính
A=(-2)+4+(-6)+8+...+(-98)+100
B=1+(-3)+5+(-7)+...+197+(-199)
A = -2 +( -2) +........+ (-2)
A = 50 x (-2)
A = -100
Ko bít đúng hay ko
A=(-2). 50 =(-100)
B=(-2).100 =(-200)
bài1: tính hợp lý
a) 1-2+3-4+5-6+....+199-200
b) 1+2-3-4+5+6-7-8+.....+97+98-99-100
c) 1+ (-6)+11+(-16)+......+21+(-26)
\(a,1-2+3-4+5-6+......+199-200\)
\(=\left(1-2\right)+\left(3-4\right)+\left(5-6\right)+.....+\left(199-200\right)\)( 100 cặp )
\(=-1+\left(-1\right)+\left(-1\right)+........+\left(-1\right)\)( 100 số hạng )
\(=-1.100\)
\(=-100\)
\(a.1-2+3-4+5-6+...+199-200\)
\(=\left(1-2\right)+\left(3-4\right)+\left(5-6\right)+...+\left(199-200\right)\) (có tất cả \(200:2=100\)cặp)
\(=\left(-1\right)+\left(-1\right)+\left(-1\right)+...+\left(-1\right)\)
\(=\left(-1\right).200=-200\)
\(b.1+2-3-4+5+6-7-8+...+97+98-99-100\)
\(=\left(1+2-3-4\right)+\left(5+6-7-8\right)+...+\left(97+98-99-100\right)\) (có \(100:4=25\)cặp)
\(=\left(-4\right)+\left(-4\right)+...+\left(-4\right)\)
\(=\left(-4\right).25=-100\)
\(c.1+\left(-6\right)+11+\left(-16\right)+...+21+\left(-26\right)\)
\(=\left[1+\left(-6\right)\right]+\left[11+\left(-16\right)\right]+...+\left[21+\left(-26\right)\right]\) (có tất cả \(26:2=13\)cặp)
\(=\left(-5\right)+\left(-5\right)+...+\left(-5\right)\)
\(=-5.13=-65\)
Câu a tớ làm sai, bạn tham khảo của bạn kia nhé!
Tính nhanh:
S = 1 - 2 + 3 - 4 + 5 - 6 + ... + 199 - 200
S = 1 + 2 - 3 - 4 + 5 + 6 - 7 - 8 + ... + 97 + 98 - 99 - 100 + 101
Ai giải nhanh nhất mk hứa sẽ tick cho!
S=(1-2)+(3-4)+(5-6)+...+(199-200)
S=(-1)+(-1)+...+(-1)
S=(-1).100=-100
S=1+(2-3)+(-4+5)+...+(98-99)+(-100+101)
S=1+(-1)+1+..+(-1)+1
S=1+25.(-1)+25.1
S=1+(-25)+25
S=1+0
=1
S= 1+(1-3)+3+(1-5)+5+(1-7)+........+199+(1-199)=200
2/3*x-(1/2-3/4+5/6-7/8+...+197/198-199/200)=1/51+1/52+1/53+...+1/99+1/100
Tìm x
viết có chắc chữ giải mà cũng đúng thật vô lý
(1+2+3+4+...+100)+(1-2+3-4+5-6+...+199-200)
Cho M= 1/2-3/4+5/6-7/8+...+197/198-199/200
và N= 1/51+1/52+...+1/100
Cho M=1/51+1/52+.....+1/100 và N=1/2-3/4+5/6-7/8+.....+197/198-199/200.
Hãy tính M:N
cho M=1/2-3/4+5/6-7/8+...+197/198-199/200 N=1/51+1/52+1/53+...+1/100 tính M/N
\(M=\frac{1}{2}-\frac{3}{4}+\frac{5}{6}-\frac{7}{8}+...+\frac{197}{198}-\frac{199}{200}\)
\(=\left(1-\frac{1}{2}\right)-\left(1-\frac{1}{4}\right)+\left(1-\frac{1}{6}\right)-\left(1-\frac{1}{8}\right)+...+\left(1-\frac{1}{198}\right)-\left(1-\frac{1}{200}\right)\)=\(=-\frac{1}{2}+\frac{1}{4}-\frac{1}{6}+\frac{1}{8}-...-\frac{1}{198}+\frac{1}{200}\)
\(=-\frac{1}{2}\left(1-\frac{1}{2}+\frac{1}{3}-\frac{1}{4}+...+\frac{1}{99}-\frac{1}{100}\right)\)
\(=-\frac{1}{2}\left[\left(1+\frac{1}{2}+\frac{1}{3}+\frac{1}{4}+...+\frac{1}{99}+\frac{1}{100}\right)-2\left(\frac{1}{2}+\frac{1}{4}+\frac{1}{6}+...+\frac{1}{100}\right)\right]\)
\(=-\frac{1}{2}\left[\left(1+\frac{1}{2}+\frac{1}{3}+\frac{1}{4}+...+\frac{1}{99}+\frac{1}{100}\right)-\left(1+\frac{1}{2}+\frac{1}{3}+\frac{1}{4}+...+\frac{1}{50}\right)\right]\)
\(=-\frac{1}{2}\left(\frac{1}{51}+\frac{1}{52}+\frac{1}{53}+...+\frac{1}{100}\right)\)
\(=-\frac{1}{2}.N\)
\(Tacó:\)
\(M:N=-\frac{1}{2}.N:N=-\frac{1}{2}\)