biet n!=1.2.3...5.1:1!+2:2!+3:3!+4:4!+5:5!=
Cau 1: Tim n biet : 5/8 + 5/24 + 5/48 + 5/80 + ... + 5/2n + 2 . 2n + 4 = 189/112
Cau 2 : Cho A = 1 + 1/1.2 + 1/1.2.3 + ... + 1/1.2.3...2014. So sanh A voi 2
Cau 3 : Tim n biet : 5/3 + 5/15 + 5/35 + 5/63 +...+ 5/2n + 1 . 2n + 3 = 172/69
biet n! =1*2**3*...*n . tinh 1*1!+2*2!+3*3!+4*4!+5*5!=?
Cho B=1/1!3+1/2!4+1/3!5+...+1/(n-2)!n,trong đó n!=1.2.3...n với n thuộc N:n lớn hơn hoặc bằng 3.Chứng tỏ rằng B<1/2
1) 1.2.3...9 - 1.2.3...8 - 1.2.3...7.82
2) \(\frac{\left(3.4.2^{16}\right)^2}{11.2^{13}.4^{11}-16^9}\)
3)13 - 12 + 11 + 10 - 9 + 8 - 7 - 6 + 5 -4 +3 +2 -1
tính tổng 1*4+2*5+3*6+4*7+....+n(n+3)
1.2.3+4.5.6+.....+98.99.00
tìm x thuộc n biết 1 phần 9 * 3^4. 3^n=3^7
1 phần 9.27^n=3^n
Tính
1/23+2/3-3/46
1/5+1/6-1/7
1/2-1/3+1/4-1/5
1.2.3/1.3.5+1.2.3/1.3.10
tính nhanh:
a, 5/2 + 5/6 + 5/18 + 5/54+5/162+5/486
b, 2/3+2/6+2/12+2/24+2/48+2/96+2/192
c, 1/3+1/9+1/27+1/81+1/243+1/729
d, 3/2+3/8+3/32+3/128+3/512
e, 1/2.3+1/3.4+1/5.6+1/6.7+1/7.8
g, 4/3.7+4/7.11+4/11.15+4/15.19+4/19.23+4/23.27
h, 2/2.5+2/5.8+2/8.11+2/11.14+2/14.17
i, 4/1.3.5+4/3.5.7+4/5.7.9+4/7.9.11+4/9.11.13+4/11.13.15
k,2/1.2.3+2/2.3.4+2/3.4.5+2/4.5.6+2/5.6.7+2/6.7.8
tim x biet |2x - 1|<5
cho B= 1.2.3...2012[1+1/2+1/3+...+1/2012]
CMR B chia het cho 2013