Discussion
Insert the missing number 7, 26, 63, 124, 215, 342, (....)
Answer: B
Each term is one less than a perfect cube.
\[ 2^{3}-1 = 7,\quad 3^{3}-1 = 26,\quad 4^{3}-1 = 63,\quad 5^{3}-1 = 124 \]
\[ 6^{3}-1 = 215,\quad 7^{3}-1 = 342,\quad 8^{3}-1 = \mathbf{511} \]
The near miss 513 would be \( 8^{3} + 1 \) - the same cube with the sign of the correction flipped.
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