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Question

Express the sum of odd consecutive cube number for 63.

A
31+33+35+35+39+41
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B
21+23+35+39+39+41
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C
31+33+35+37+39+41
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D
31+33+35+37+39+43
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Solution

The correct option is C 31+33+35+37+39+41
We know,
1=1=13,
3+5=8=23,
7+9+11=27=33,
13+15+17+19=64=43,
21+23+25+27+29=125=53,
31+33+35+37+39+41=216=63.
Therefore, the sum of odd consecutive cube number for 63=216 must be 31+33+35+37+39+41.
Hence, option C is correct.

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