Voi n thuoc N , n khac 0. Tinh A = \(\frac{\left(\frac{1}{4}\right)^n-\left(\frac{1}{2}\right)^n}{\left(\frac{1}{2}\right)^n-1}-\left(\frac{1}{2}\right)^n+2012\)
CMR (3^n+3+3^n-1+2^n+2+2^n+1)chia het cho 6 voi moi n thuoc N*
Tong sau la binh phuong
S2 = 1 +3 + 5 + ...+ ( 2n - 1 ) ( voi n thuoc N*)
Jup 2 bai nay 3 tich ( 24 diem hoi dap roi ) ( Lam dc 1 cau 2 tik )
1. CMR
A= 111...1111 - 222....2222 La so chinh phuong
(2n chu so 1) (n chu so 2)
2. CMR
\(4.n^3+14.n^2+6n+12⋮2n+1\)
Voi moi n thuoc Z *
bai 1 cmr
a)n^3+11n chia het cho 6 voi moi n thuoc Z
b)mn(m^2-n^2)chia het cho 3 voi moi m,n thuoc Z
bai 2 tim x,y thuoc Z
a)(x-1)(3-y)=(-7)
help me
Tinh tong sau:
N=1^1+2^2+3^3+...+100^100. So sanh N voi 101^102.
Ai giup minh giai bai nay voi:Cho tam giac ABC, M thuoc canh AC sao cho AM=1/2 MC, N thuoc canh BC sao cho NC=1/2 BN va K la giao diem cua BM voi AN.Tinh dien tich ABMN, BNK theo dien tich tam giac ABC
cho da thuc h(x)=1-x+x2-x3+...+(-1)n.n(n thuoc N*).Tinh h(0).h(-1)
CMR 1/n^3<1/(n-1).n(n+1) voi n \(\in\)Z n>1)
CMR 1/n^3>1/n(n+1)(n+2) voi n\(\in\)Z+
CM 1/2^3+1/3^3+1/4^3+...+1/2005^3+1/2006^3>1/15
j mik với mai mik cần rồi thank