Find the values of $(51)^{2}$ .

2581

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2681

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2601

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2501

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Solution

The correct option is C
2601

$(51)^{2}$ can be written as

$(51)^{2} = (50)^{2} + (50 + 51) [(n + 1)^{2} = n^{2} + (n) + (n + 1)]$

$(51)^{2} = 2500 + 101$

$(51)^{2} = 2601$

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