What is the largest integer n that satisfies (100^2-99^2)(99^2-98^2)...(3^2-2^2)(2^2-1^2) is divisible by 3^n?
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1. How many integer numbers n such that n^2+3 is divisible by n-1?
2.Caculator A=4+2^2+2^3+...+2^20
3. The last digit of the value of A= 2x4x6x...x48 - 1x3x5x...x49
\(a,n^2+3⋮n-1\)
\(\Rightarrow n\left(n-1\right)+3+n⋮n-1\)
\(\Rightarrow n+3⋮n-1\)
\(\Rightarrow n-1+4⋮n-1\)
\(\Rightarrow4⋮n-1\)
...........You make the table, If i make the table, it will spent my times
That is answer:6 intergers
\(b,A=4+2^2+2^3+...+2^{20}\)
Put \(B=2^2+2^3+...+2^{20}\)
\(\Rightarrow2B=2^3+2^4+...+2^{21}\)
\(\Rightarrow2B-B=\left(2^3+2^4+...+2^{21}\right)-\left(2^2+2^3+...+2^{20}\right)\)\(\Rightarrow B=2^{21}-4\)
`\(\Rightarrow A=2^{21}-4+4=2^{21}\)
c,Consider the range of values
Put B=2.4.6.8...48
Because of B=2.4.6...10....48
=> The last digit of B is 0
Put C=1.3.5...49
Because of C= 1.3.5...49
=> The last digit of C is 5
=> B-C will have the last digit is 5
=> A have the last digit ís 5
Each digit of a positive integer is 1 or 2 or 3 . Given that each of the digit 1;2 and 3 occurs at least twice
What is the smallest such integer that is not divisible by 2 or 3?
Mọi người giúp nhé mình sẽ like nhiều tick nhiều cho!
Mik đang cần giúp nhé
moi chu so cua mot so nguyen duong la 1 hoac 2 hoac 3.cho rang moi chu so 1,2 va3 say ra it nhat 2 lan
so nho nhat do la gi ma khong phai chia het cho 2 hoac 3
Find the least positive integer n such that n(n + 1)(n + 2)(n + 3) is divisible by 1000.
Tìm số nguyên dương n nhỏ nhất sao cho n(n + 1)(n + 2)(n + 3) chia hết cho 1000.
+ cách giải ( Không dùng máy tính cầm tay)
What is the largest integer n such that there is a multiple of 4 less than n2 but greater than n2+\(\frac{2016}{n^2}\)?
if we write all of the whole numbers from 10 through 99 and cross out any number in wich the fist or second dugit is divisible by 3 (for example ,41 is crossd out as 4 is divisible by 2 and 36 is crossed out a
s 6 is divisible by 2 ) , how many numbers are crossed out ?
If we write all of the whole numbers from 10 through 99 and cross out any number in which the first or second digit is divisible by 2 (for example, 41 is crossed out as 4 is divisible by 2 and 36 is crossed out as 6 is divisible by 2), how many numbers are crossed out
Dịch là:
Nếu chúng ta viết tất cả các số nguyên từ 10 đến 99 và gạch bỏ bất kỳ số trong đó chữ số đầu tiên hoặc thứ hai là chia hết cho 2 (ví dụ, 41 được gạch chéo là 4 là chia hết cho 2 và 36 được gạch chéo như 6 là chia hết cho 2), có bao nhiêu con số được gạch chéo
Mình chỉ dịch được thôi nhưng ko biết cách làm
Mà bạn thi Violympic Tiếng Anh à
If we write all of the whole numbers from 10 through 99 and cross out any number in which the first or second digit is divisible by 2 ( for example, 41 is crossed out as 4 is divisible by 2 and 36 is crossed out as 6 is divisible by 2), how many numbers are crossed out?
If we write all of the whole numbers from 10 through 99 and cross out any number in which the first or second digit is divisible by 2 (for example, 41 is crossed out as 4 is divisible by 2 and 36 is crossed out as 6 is divisible by 2), how many numbers are crossed out?
Nếu chúng ta viết tất cả các số nguyên từ 10 đến 99 và gạch bỏ bất kỳ số trong đó chữ số đầu tiên hoặc thứ hai là chia hết cho 2 (ví dụ, 41 được gạch chéo là 4 là chia hết cho 2 và 36 được gạch chéo như 6 là chia hết cho 2), bao nhiêu số được gạch chéo?
80 số ,mình làm nhanh nhất!
If we write all of the whole numbers from 10 through 99 and cross out any number in which the first or second digit is divisible by 2 (for example, 41 is crossed out as 4 is divisible by 2 and 36 is crossed out as 6 is divisible by 2), how many numbers are crossed out?