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Question
Evaluate using algebraic formula:
992 + 2(99) + 1
Evaluate
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Solution
992 + 2(99) + 1
The equation matches with (n + 1)2 and n = 99
Thus,
(n + 1)2 = (99 + 1)2
∴ (n + 1)2 = 1002
∴ (n + 1)2 = 10,000
992 + 2(99) + 1
= (99 + 1)2 = 1002
= 1002 = 10,000
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