- ANo, it sums to 65
- BYes,
- CYes,
- DYes,
Step-by-Step Solution
A block of 5 consecutive odd numbers centred at sums to 5. Here , so the sum is , which is not a perfect cube. Only the block centred at 25 sums to .
Answer: A) No, it sums to 65
In the odd-number cube pattern, the block of 5 consecutive odd numbers that sums to is 21 + 23 + 25 + 27 + 29 (centred at 25).
Now consider the block of 5 consecutive odd numbers centred at 13: that is 9 + 11 + 13 + 15 + 17. Does THIS block sum to a perfect cube?
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