1-2+3-4+5-6+7-8+......+199-200
mik cần gấp
Hãy nhập câu hỏi của bạn vào đây, nếu là tài khoản VIP, bạn sẽ được ưu tiên trả lời.
1.
$(5^{1986}-5^{1985}):5^{1985}=5^{1985}(5-1):5^{1985}=5-1=4$
2.
\((7^{846}+7^{847}):7^{846}=7^{846}(1+7):7^{846}=1+7=8\)
3.
\((9^{2018}-3^{4036}):6^{2006}=[(3^2)^{2018}-3^{4036}]:6^{2006}\)
$=(3^{4036}-3^{4036}):6^{2006}=0:6^{2006}=0$
4.
$(7^{80}.8^{70}-56^{70}):56^{70}$
$=[7^{10}(7.8)^{70}-56^{70}]:56^{70}$
$=[7^{10}.56^{70}-56^{70}]:56^{70}$
$=56^{70}(7^{10}-1):56^{70}=7^{10}-1$
5.
$4^{4016}:(4^{4017}-4^{4016})=4^{4016}:[4^{4016}(4-1)]$
$=4^{4016}:4^{4016}:3=1:3=\frac{1}{3}$
6.
$(12^{206}.2^{207}-24^{206}):24^{206}$
$=(12^{206}.2^{206}.2-24^{206}):24^{206}$
$=[(12.2)^{206}.2-24^{206}]:24^{206}$
$=(24^{206}.2-24^{206}):24^{206}$
$=24^{206}(2-1):24^{206}=2-1=1$
7.
$(5^2-24)^{8946}+4^{30}:2^{60}=1^{8946}+(2^2)^{30}:2^{60}$
$=1+2^{60}:2^{60}=1+1=2$
8.
$(37.8^{1007}-7.2^{3021}):8^{1007}=[37.8^{1007}-7.(2^3)^{1007}]:8^{1007}$
$=[37.8^{1007}-7.8^{1007}]:8^{1007}$
$=8^{1007}(37-7):8^{1007}=37-7=30$
\(a.\dfrac{7}{8}+\dfrac{1}{2}\text{=}\dfrac{11}{8}\)
\(b.\dfrac{5}{6}+\left(-2\right)\text{=}\dfrac{-7}{6}\)
\(c.\dfrac{2}{5}+\dfrac{-3}{8}\text{=}\dfrac{1}{40}\)
\(d.\dfrac{5}{7}-\dfrac{3}{8}\text{=}\dfrac{19}{56}\)
\(e.\dfrac{3}{4}-\dfrac{1}{2}+\dfrac{7}{6}\text{=}\dfrac{17}{12}\)
a: =(-1)+(-1)+...+(-1)=-1011
b: =(-5)+(-5)+...+(-5)=-175
Divide that number sequence into 2, odd & even, since the odd always positive & even always negative
odd number : Un = 2n -1
even numbers : Un = 2n
odd sigma(n=100) = n(Un+n0)/2 = n(2n-1+1)/2 = n(2n)/2 = n^2
even sigma(n=100) = n(Un+n0)/2 = n(2n+2)/2 = n(n+1) = n^2 + n
sigma(n=100) = n^2 - (n^2 + n) = n^2 - n^2 - n = -n = -100
a) 1/7 + 2/7 + 3/7 + 4/7 + 5/7 +6/7 = 3
b) 1/2 + 2/4 + 3/6 + 4/8 + 5/10 + 6/12 = 3
C=(1-2-3-4)+(5-6-7-8)+...+(197-198-199-200)
=-8x50
=-400
a, 23/4 : 3 + 9/4 x 1/3 - 3/8
= 7,8 + 12,22 - 3,8
= 20,02 - 3,8
=16,22
b, 3/5 : 5/6 : 6/7 : 7/8 + 2/5 +23/35
=3/5 x 6/5 x 7/6 x 8/7 + 2/5 + 23/35
=24/25 + 2/5 + 23/35
=1/5 x(24/5 + 2 +23/7)
=1/5 x 353/35
=353/175
1=32
2=-3
3=-16
4=-9
5=0
6=6
7=1
8=25
nhớ tick cho mình nha
=(-1)+(-1)+(-1)+...+(-1)+(-1)
=-100
1 - 2 + 3 - 4 + 5 - 6 + .... + 199 - 200
= (1 - 2) + (3 - 4) + (5 - 6) + .... + (199 - 200)
= (-1) + (-1) + (-1) + .... + (-1)
200 : 2 = 100
= (-1) . 100
= (-100)