8
15 and 16
24 and 25, which are (49-1)/2 and (49+1)/2
The difference between the squares of two consecutive integers j and j+1 is |2j+1|. There are therefore two such pairs where this quantity is 17:-9 and -88 and 9
There are two consecutive even numbers. The numbers are 62 and 64.
The numbers are 244 and 245.
15 and 16
62 and 63
The numbers are 13 and 14.
24 and 25, which are (49-1)/2 and (49+1)/2
17 and 18
The difference between the squares of two consecutive integers j and j+1 is |2j+1|. There are therefore two such pairs where this quantity is 17:-9 and -88 and 9
The numbers are 12 and 14.
The numbers are 12 and 14.
Let the two consecutive numbers be ( n ) and ( n + 1 ). The difference of their squares can be expressed as ( (n + 1)^2 - n^2 ), which simplifies to ( 2n + 1 ). Setting this equal to 25, we get the equation ( 2n + 1 = 25 ). Solving for ( n ), we find ( n = 12 ), so the two consecutive numbers are 12 and 13.
Let's call n the first one the problem is (n+1)2-n2=17 = 2n+1 then n = 8
Let's denote the two consecutive numbers as x and x+1. The square of the first number is x^2, and the square of the second number is (x+1)^2. According to the given condition, their squares differ by 25, so we have the equation (x+1)^2 - x^2 = 25. Simplifying this equation, we get x^2 + 2x + 1 - x^2 = 25, which simplifies to 2x + 1 = 25. Solving for x, we find x = 12. Therefore, the two consecutive numbers are 12 and 13.
Consecutive numbers are whole numbers whose difference is 1.