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प्रश्न
What will be the units digit of the square of the following number?
52698
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उत्तर
The units digit is affected only by the last digit of the number. Hence, we only need to examine the square of its last digit.
Its last digit is 8. Hence, the units digit is the last digit of 64 (64 = 82), which is 4
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\[ 1^2 + 2^2 = \frac{1}{6}\left[ 2 \times \left( 2 + 1 \right) \times \left( 2 \times 2 + 1 \right) \right]\]
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\[ 1^2 + 2^2 + 3^2 + 4^2 = \frac{1}{6}\left[ 4 \times \left( 4 + 1 \right) \times \left( 2 \times 4 + 1 \right) \right]\] and find the values :
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