Tính x - y biết:
x = 1 . 2 + 2 . 3 + 3 . 4 + ... + 99 . 100
y = 1 . 1 + 2 . 2 + 3 . 3+ ... + 99 . 99
tính nhanh (2/3+3/4+5/6+...+99/100).(1/2+2/3+3/4+...+98/99)-(1/2+1/3+...+99/100).(2/3+2/4+...+98/99)
(2+4+6+...+100) - (1+3+5+...+99) = ?
1 x 2 + 2 x 3 + 3 x 4 + ... + 99 x 100 = ?
3 x 4 + 4 x 5 + 5 x 6 + ... + 149 x 150 = ?
1 + (1 + 2) + ( 1 + 2 + 3) + (1 + 2 + 3 + 4) + ....... + (1 + 2 + 3 + ... + 99)
----------------------------------------------------------------------------------------------------------- ( gạch ngang phân số )
1 x 99 + 2.98 + 3.97 + ...... + 99 x 1
Tìm x:
( x + 2) + ( x + 4 ) + ( x + 6 ) + ................. + ( x + 100 ) = 2700
Tính tổng
0+1+2+3+.........+99
1+2+3+4+..........+99
1+3+5+7+..........+99
cau 1 :
Tu dau bai ta co:
X x 50 + ( 100 + 2 ) x 50 : 2 = 2700
X x 50 + 2550 = 2700
X x 50 = 2700 - 2550
X x 50 = 150
X = 150 : 50
X = 3
Bai 2
1 ) ( 99 + 0 ) x 100 : 2 = 4950
2 ) ( 99 + 1 ) x 99 : 2 = 4950
3 ) day tren co so cac so hang la :
( 99 - 1 ) : 2 + 1 = 50 ( so )
Vay tong la : ( 99 + 1 ) x 50 : 2 = 2500
lik e cho minh nha moi nguoi
Tính tổng:
S = 1 x 2 + 2 x 3 + 3 x 4 + .... + 98 x 99 + 99 x 100
\(S=1\cdot2+2\cdot3+3\cdot4+...+99\cdot100\\ 3S=1\cdot2\cdot3+2\cdot3\cdot3+3\cdot3\cdot4+...+3\cdot99\cdot100\\ 3S=1\cdot2\cdot3+2\cdot3\cdot\left(4-1\right)+3\cdot4\cdot\left(5-2\right)+...+99\cdot100\cdot\left(101-98\right)\\ 3S=1\cdot2\cdot3+2\cdot3\cdot4-1\cdot2\cdot3+....+99\cdot100\cdot101-98\cdot99\cdot100\\ 3S=99\cdot100\cdot101\\ S=\dfrac{99\cdot100\cdot101}{3}=33\cdot100\cdot101=3300\cdot101=333300\)
Bài 4: Tính tổng 1) 1 + (-2) + 3 + (-4) + . . . + 19 + (-20) 2) 1 – 2 + 3 – 4 + . . . + 99 – 100 3) 2 – 4 + 6 – 8 + . . . + 48 – 50 4) – 1 + 3 – 5 + 7 - . . . . + 97 – 99 5) 1 + 2 – 3 – 4 + ... + 97 + 98 – 99 - 100
1. 1 + ( -2) +3 +(-4) + .........+ 19 + (-20)
= -1 + ( -1) +....+(-1)
= -1. 10
= -10
2. 1 – 2 + 3 – 4 + . . . + 99 – 100
= ( -1) + (-1) +....+(-1)
= -1. 50
= -50
3. 2 – 4 + 6 – 8 + . . . + 48 – 50
= (-2) + (-2) +....+ (-2)
= -2. 12 + 26
= -24 + 26
= 2
4. – 1 + 3 – 5 + 7 - . . . . + 97 – 99
= 2 + 2 +......+2
= 2.25
= 50
5. 1 + 2 – 3 – 4 + ... + 97 + 98 – 99 - 100
= (1+2-3-4) +......+ ( 97+98-99 -100)
= -4 . (-4).....(-4)
= -4. 25
= -100
1 tính tổng các số nguyên x biết
1/ -20<x<21
2/ -18 ≤ x ≤17
3/ -27 < x ≤ 27
4/ | x | ≤ 3
5/ | -x | <5
2 tính tổng
1/ 1+(-2)+3+(-4)+...+19+(-20)
2/ 1-2+3-4+...+99-100
3/ 2-4+6-8+...+48-50
4/ -1+3-5+7-....+97-99
5/ 1+2-3-4+....+97+98-99-100
Tính tổng:
a) A= 1^2*2 + 2^2 *3 + 3^2*4 +...+ 99^2*100
b) B= 1*2^2 + 2*3^2 + 3*4^2 +...+ 99*100^2
c) C= 1^3 + 2^3 + 3^3 +...+ 99^3
Tính nhanh
a.(1+1/2)×(1+1/3)×(1+1/4)×...×(1+1/98)×(1+1/99).
b.1/2×2/3×3/4×...×97/98×98/99×99/100
a,=3/2*4/3*....100/99
=3*4*5*....*100/2*3*...*99
=100/2=50
b, nhân lên băng:
1*2*3*...*99/2*3*...*100=1/100
Tính
A=1*2+2*3+3*4+..+99*100
B=1*3+3*5+5*7+..+97*99
C=1*2*3+2*3*4+...+98*99*100
A= 1.2 + 2.3 + 3.4 + ... + 99.100
3A = 1.2.3 + 2.3.(4-1) + 3.4.(5-2) + ... + 99.100.(101-98)
3A = 1.2.3 + 2.3.4 - 1.2.3 + 3.4.5 - 2.3.4 + ... + 99.100.101 - 98.99.100
3A = 98.99.100
A = 970200 : 3
A = 32340.