so sanh hai so E =(3^n+1)+4*(2^n-1)-81*(3^n-3)-8*(2^n-2)+1 va F=(2^n+1)^2+(2^n-1)^-2*((4^n)+1)(n nguyen duong)
B1. Cho f(1)=1008,f(1)+f(2)+...+f(n)=n^2.f(n) f(n)la ham so duong
tinh f(2015)
B2 Cho cac so nguyen to q,p,r,s sao cho cac so sau deu la so nguyen to p^s+s^q,q^s+s^r,r^s+s^p
tim cac so p,q,r,s
B3 co a,b,c duong a mu 3+bmu3=c^3
so sanh a^2015+b^2015 va c^2015
Tim n :
\(1,n+4⋮n^2-3\)
\(2,n+3⋮n^2+3n+2\)
\(3,n^3-n^2+2n+7⋮\left(n^2+1\right)\)
Cac ban nho giup minh nha,vi minh dang can raaaaat la gap nha !!!!!!!!
cho a va b la hai so tu nhien. biet a chia cho 5 du 1 ; b chia cho 5 du 4. chung minh (b-a)(b+a) chia cho 4
chung minh 2n^2(n+1)-2n(n^2+n-3) chia het cho 6 voi moi so nguyen n
chung minh n( 3-2n)-(n-1)(1+4n)-1 chia het cho 6 voi moi so nguyen n
tim tat ca cac so nguyen duong n sao cho so T=2^n+1 la so chinh phuong
chung minh voi moi n la so nguyen thi a(n2-3n+1).(n+2)-n3+2
tim so n tu nhien
A=n^3-n^2+n-1 la so nguyen to
cho n> 3 va n khong chia hết cho 3 .Cmr n^ 2 -1 và n^2 +1 khong the dong thoi la so nguyen to (nhanh len ban nhe va 3 cach vao)
Tim n nho nhat de n^3-4n^2+4n-1 la so nguyen to