Denote the lowest of the three consecutive numbers as n. Then the other numbers are n +1 and n +2. From the problem statement, n(n + 1) = (n + 2)2 -52, or:
n2 + n = n2 + 4n + 4 - 52, or 3n = 48, or n = 16. Check: 16 X 17 = 272; 18 X 18 = 324; 324 - 272 = 52.
They are 6, 8, 10 and 12.
9
The product of two consecutive positive integers can be found by multiplying the smaller integer by the larger integer. If the smaller integer is represented as ( n ), then the larger integer would be ( n + 1 ). Therefore, the product of two consecutive positive integers is ( n \times (n + 1) ).
-1
The two numbers are 9 and 11, or indeed -9 and -11. Therefore, the larger number is 11 (or -9).
4,6,8,10
They are 6, 8, 10 and 12.
9
9
7
In 'normal' arithmetic, there is no solution of 3 consecutive odd numbers where the product of the smaller two is 22 less than that of the larger two. For instance difference in products for 1-3-5 is 12, for 3-5-7 it is 20, and for 5-7-9 it is 28. The series steps by 8 integers for each set of 3 odd numbers investigated.
6 x 8 = 48 10 x 12 = 120 120 - 48 = 72
The product of two consecutive positive integers can be found by multiplying the smaller integer by the larger integer. If the smaller integer is represented as ( n ), then the larger integer would be ( n + 1 ). Therefore, the product of two consecutive positive integers is ( n \times (n + 1) ).
6 times 7 = 42 and so 7 is the larger number
-1
In fact, they can. 2 and 3 are consecutive prime numbers.For larger numbers, one of two consecutive numbers will always be even, and therefore, not a prime.In fact, they can. 2 and 3 are consecutive prime numbers.For larger numbers, one of two consecutive numbers will always be even, and therefore, not a prime.In fact, they can. 2 and 3 are consecutive prime numbers.For larger numbers, one of two consecutive numbers will always be even, and therefore, not a prime.In fact, they can. 2 and 3 are consecutive prime numbers.For larger numbers, one of two consecutive numbers will always be even, and therefore, not a prime.
Negative Numbers.