The difference between the squares of any two consecutive integers is equal to · ABC26GN0290
Subject: General Aptitude · Chapter: Number System
The difference between the squares of any two consecutive integers is equal to
(a)an even number
(b)difference of given numbers
(c)sum of given numbers
(d)product of given numbers
Answer
Explanation
Let the two consecutive integers be a and (a + 1). Then, $(a+1)^{2}-a^{2}=a^{2}+1+2 a-a^{2}=(2 a+1)=(a+a+1)=$ sum of given integers.
Explanation as extracted from the printed page; notation may be imperfect.
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