Đầu tiên ta có tính chất: với a và n là các số tự nhiên bất kì thì \(a^{4n+1}\) có cùng chữ số tận cùng với a
\(A=2^{4.0+1}+3^{4.1+1}+4^{4.2+1}+...+2004^{4.2020+1}\)
\(\Rightarrow A\) có cùng chữ số tận cùng với \(B=2+3+4+...+2004\)
\(B=1+2+3+...+2004-1=\frac{2004.2005}{2}-1=1002.2005-1\)
\(2.5\) tận cùng bằng 0 nên B tận cùng bằng 9
\(\Rightarrow\) A tận cùng bằng 9
Find the value of n such that \(A=n^3-2n^2+2n-4\) is a prime number. The value of n is...
in a magic triangle, each of the six whole numbers 10; 11; 12; 13; 14; 15 is placed in one of the circles so that the sum, S, of the three numbers on each side of the triangle is the same. The largest possible value for S is
In a magic triangle, each of the six whole numbers 10; 11; 12; 13; 14; 15 is placed in one of the circles so that the sum, S, of the three numbers on each side of the triangle is the same. The largest possible value for S is
Subtract 100 from 7 times of a number A, the difference will be 68 more than 5 times the value of A. Find the value of A.
If x+3 is a factor of both 2x^2-x+m and 3x^2-2x+6,then the value of m+n is
Find the value of k such that x3 + kx2 + (4 - k)x - 35 is divisible by x - 7.
Answer: k = ........
In a magic triangle, each of the six whole numbers 10; 11; 12; 13; 14; 15 is placed in one of the circles so that the sum, S, of the three numbers on each side of the triangle is the same. The largest possible value for S is \
Bài toán Violympic thách thức mọi thời đại bởi độ khó cực kì và khó hiẻu
The product of the whole numbers from 1 to 122 is divisible by 22n. Find the greatest possible value of the whole number n.