alleryBy how much does (n+1)² exceed n²?
A1
Bn
C2n
D2n + 1
Answer & Solution
Correct answer: D. 2n + 1
(n + 1)² − n² = n² + 2n + 1 − n² = 2n + 1. For example, 5² − 4² = 25 − 16 = 9 = 2·4 + 1.
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