3n < 50 if 3n/3 < 50/3 that is, if n < 50/3 = 162/3.
3n - 12.
It is 3n - 5.
The product of four consecutive integers is always one less than a perfect square. The product of four consecutive integers starting with n will be one less than the square of n2 + 3n + 1
Suppose the smallest of the integers is n. Then the product of the four consecutive integers is n*(n+1)*(n+2)*(n+3) =(n2+3n)(n2+3n+2) = n4+6n3+11n2+6n So product +1 = n4+6n3+11n2+6n+1 which can be factorised as follows: n4+3n3+n2 +3n3+9n2+3n + n2+3n+1 =[n2+3n+1]2 Thus, one more that the product of four consecutive integers is a perfect square.
4n = 3n + 44n - 3n = 3n - 3n + 4n = 4check:4n = 3n + 44(4) =? 3(4) + 416 =? 12 + 416 = 16 True
3n - 12.
It is 3n - 5.
The product of four consecutive integers is always one less than a perfect square. The product of four consecutive integers starting with n will be one less than the square of n2 + 3n + 1
Suppose the smallest of the integers is n. Then the product of the four consecutive integers is n*(n+1)*(n+2)*(n+3) =(n2+3n)(n2+3n+2) = n4+6n3+11n2+6n So product +1 = n4+6n3+11n2+6n+1 which can be factorised as follows: n4+3n3+n2 +3n3+9n2+3n + n2+3n+1 =[n2+3n+1]2 Thus, one more that the product of four consecutive integers is a perfect square.
3n>8
4n = 3n + 44n - 3n = 3n - 3n + 4n = 4check:4n = 3n + 44(4) =? 3(4) + 416 =? 12 + 416 = 16 True
6=3n or 3n=6
3n
3n-9
3n/4 - 9
3n - 22
3n-30