(n + 1)² - n² =?
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Question
- (n + 1)² - n² =?
Answer :
Using identity a² - b² = ( a + b ) ( a - b )
a = (n+1)
b = n
So,
(n + 1)² - n²
= ( n + 1 + n) ( n + 1 - n)
= ( 2n + 1 ) ( 1 )
= 1 ( 2n + 1 )
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