1 +1 =
2 + 2 =
4 + 4 =
8 + 8 =
16 +16 =
32 +32 =
55 +55 =
100 +100 =
200+200=
-1-2-3-4-5-.......-100
-2-4-6-8-....-100
-6-9-12-15-......-99
-1+2-3+4-5+6-......-99+100
4-8+12-16+...........+196-200
A = -1 - 2 - 3 - ... - 100
= -(1 + 2 + 3 + ... + 100)
= -100.101 : 2
= -5050
--------
B = -2 - 4 - 6 - ... - 100
= -(2 + 4 + 6 + ... + 100)
Số số hạng của B:
(100 - 2) : 2 + 1 = 50 (số)
B = -(100 + 2) . 50 : 2 = -2550
--------
C = -6 - 9 - 12 - ... - 99
= -(6 + 9 + 12 + ... + 99)
Số số hạng của C:
(99 - 6) : 3 + 1 = 32 (số)
C = -(99 + 6) . 32 : 2 = -1680
--------
D = 4 - 8 + 12 - 16 + ... + 196 - 200
Số số hạng của D:
(200 - 4) : 4 + 1 = 50 (số)
D = (4 - 8) + (12 - 16) + ... + (196 - 200)
= -4 + (-4) + ... + (-4) (25 số -4)
= -4.25
= -100
1 200-18 :(372:3 *x-1)-28=166
(7*13+8*13):(9va2/3-x)=39
x=(6va3/5:s6-0,125 *8+2va2/15*0,03)*11/4
(100-99+98-97+96-95+....+4-3+2-1):50 +2010-12*x=91
2 A= 1/2+1/4+1/8+1/16+1/32+1/64+1/128+1/256+1/512+1/1024
B=27.45+27.55/2+4+...+16+18
14 ) (27 . 45 + 27 . 55 ) : (2 + 4 + 6 + 8 ........+18)
15 ) (26 . 108 - 26.12) : ( 32 - 18 + 24 -20 +16 - 12 + 8 -4)
14)
\(\left(27.45+27.55\right):\left(2+4+6+...+18\right)\)
\(=\left[27\left(45+55\right)\right]:\left[\frac{\left(18+2\right)9}{2}\right]\)
\(=\left(27.100\right):90\)
\(=2700:90\)
\(=30\)
15)
\(\left(26.180-26.12\right):\left(32-18+....+8-4\right)\)
\(=26\left(180-12\right):\left(14+4+4+4+4+4+4+4\right)\)
\(=26.168:42\)
\(=84\)
1.Chứng minh rằng a)1/2-1/4+1/8-1/16+1/32-1/64<1/3 b)1/3-2/3^2+3/3^3-4/3^4+...+99/3^99-100/3^100<3/16
CMR:
a)1/2-1/4+1/8-1/16+1/32-1/64<1/3
b)1/3 - 2/3^2 + 3/3^3 - 4/3^4 +...+ 99/3^99 -100/3^100 < 3/16
cmr
a) 1/2 -1/4+1/8-1/16+1/32-1/64 <1/3
b) 1/3-2/3^2+3/3^3-4/3^4+...+99/3^99-100/3^100<3/16
bài 1 . tính nhanh
a, 39 + 11-16 + 77 + 88 + 55 -11 + 200 =
b, 60 - 10 : 2 -3 + 100
tính tổng
S = 1 + 2 + 4 + 8 + 16 + 32 +.... + 2100
1 + 2 + 3 + ... + 99 + 100
2 + 4 + 6 + 8 + 10 + 12 + 14 + 16 + 18
1 + 2 + 3 + 4 + ... + 200
1+2+3+...+99+100
=(1+100)x50
=101x50
=5050
2+4+6+8+10+...+18
=(2+18):2 x9
=90
1+2+3+4+...+200
=(1+200)x 100
=201 x100
=20100
1+2+3+...+99+100
=(1+100)x50
=101x50
=5050
2+4+6+8+10+...+18
=(2+18):2 x9
=90
1+2+3+4+...+200
=(1+200)x 100
=201 x100
=20100
1+2+3+...+99+100
=(1+100)x50
=101x50
=5050
2+4+6+8+10+...+18
=(2+18):2 x9
=90
1+2+3+4+...+200
=(1+200)x 100
=201 x100
=20100