Đặt \(A=5+5^2+5^3+....+5^{199}+5^{200}\)
\(\Leftrightarrow5A=5\left(5+5^2+5^3+....+5^{199}+5^{200}\right)\)
\(\Leftrightarrow5A=5^2+5^3+5^4+....+5^{200}+5^{201}\)
\(\Leftrightarrow5A-A=\left(5^2+5^3+5^4+....+5^{200}+5^{201}\right)-\left(5+5^2+5^3+....+5^{199}+5^{200}\right)\)
\(\Leftrightarrow4A=5^{201}-5\)
\(\Leftrightarrow A=\frac{5^{201}-5}{4}\)
1.Tính tổng
A=0-1+2-3+4-5+6-7+.........+2017-2018
B=1-3+5-7+9-11+....+2005-2007
C=1+2+3-4-5-6+7+8+9-10-11-12+.....+97+98+99-100-101-102
Bài 1:D=1000+998+996+...+2-999-997-995-1
E=100+98+96+94+...+2-97-95-93-...-1
G=1-3+5-7+...+2005-2007+2009
H=1-3+5-7+...+2001-2003+2005
I=1+0-3-4+5+6-7-8+9+...-299+300+301+302
K=1-2+3-4+...+2017-2018+2019
L=1-2-3+4+5-6-7+...+1997+1998-1999+2000+2001
M=1-2+3-4+5-6+...+99-100+101
Bài 2:A=1+2+3+...+x
B=2+4+6+...+2.x
C=1+3+5+7+...+(2x-1)
Tính
A = 1 - 2 + 3 - 4 + 5 - 6 + 7 - 8 + 9 - ........... + 2019
B = 1 + 2 - 3 + 4 - 5 + 6 - 7 + .............. + 2017 + 2018 - 2019 + 2020
1. Tìm x thuộc Z, biết
a)21-(x-3)<0
b)(-2).(7+x)<0
C)(x-1).(x+2)<0
2.Tính tổng
A=0-1+2-3+4-5+6-7+.........+2017-2018
B=1-3+5-7+9-11+....+2005-2007
C=1+2+3-4-5-6+7+8+9-10-11-12+.....+97+98+99-100-101-102
1. [ ( -2 ). 3 + 9 ]. ( -5 ) - ( -6 ). 8
2. ( 135 - 35 ). ( -47 ) + 53. ( -48 - 52 )
3. 0 - 1 + 2 - 3 + 4 - 5 + 6 - 7 + ... + 2004 - 2005
4. 1 - 3 + 5 - 7 + 9 - 11 + ... + 2005 - 2007
5.1 + 2 + 3 - 4 - 5 - 6 + 7 + 8 + 9 - 10 - 11 - 12 + ... + 97 + 98 + 99 - 100 - 101 - 102
1) Thuc hien phep tinh:
a) 4^6 × 9^2 / 6^3 × 8^2
b) 5^6 × 15^4 /5^4 × 3^3
c) 3^9 - 2^3 × 3^7 + 2^10 × 3^2 - 2^13 / 3^10 - 2^2 × 3^7 + 2^10 × 3^3 - 2^12
d) (1/9)^10 : (1/3)^20
e) (1/64)^5 × (1/4)^7
2) Chung minh rang:
a)2014^100+2014^99 chia het cho 2015
b) 4^13+32^5-8^8 chia het cho 5
c) 81^27-27^9-9^13 chia het cho 405
Help me!! Pleass!!
a, 1-2+3-4+5-6+....+2021-2022
b, 1-6+2-7+3-8+4-9+.......+35-40
c, -1+2-3+4-5+6-.........-2021+2022
d, 1-4+2-5+3-6+.....+197-200
e, -1-2-3-4-5-....-199-200
bài 1
A=1*2*3+2*3*4+3*4*5+...+99*100*101
B=1*3*5+3*5*7+...+95*97*99
C=2*4+4*6+..+98*100
D=1*2+3*4+5*6+...+99*100
E=1^2+2^2+3^2+...+100^2
G=1*3+2*4+3*5+4*6+...+99*101+100*102
H=1*2^2+2*3^2+3*4^2+...+99*100^2
I=1*2*3+3*4*5+5*6*7+7*8*9+...+98*99*100
K=1^2+3^2+5^2+...+99^2
1-2-3-4-5-6-7-8-9-0+4+9+1+2+3+4+5:3:5:6:67:8:96+7+8+9+9-2-3-4-5-6-7-8-9-2+4+2+1+3+4+5+6+7+9+0+8+67?
LÂY BÚA CHAC ĐẦU ĐUÔI HỎI =?
