The difference between the square of any two consecutive integers is equal to · ABC26GN0093

Subject: General Aptitude · Chapter: Number System

The difference between the square of any two consecutive integers is equal to

(a)sum of two numbers

(b)difference of two numbers

(c)an even number

(d)product of two numbers

Answer

Answer (as printed): A

Explanation

Let $x$ and $(x+1)$ be two consecutive integers. Then $(x+1)^{2}-x^{2}=(x+1+x)(x+1-x)=(x+1+x) \times 1$ $=(x+1+x)=$ sum of given numbers.

Explanation as extracted from the printed page; notation may be imperfect.

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