Find the missing term in the given number series.
-1,0, 7, 26, 63, ?, 215, 342......Step-by-step Solution:
Correct Answer: C (124)
The pattern in this number series is based on the cubes of consecutive integers.
Each term in the series is one less than a perfect cube, starting with the cube of 0.
Following this pattern, the next term should be $5^3 - 1$.
$$ 5^3 - 1 = 125 - 1 = 124 $$
To confirm, the subsequent terms would be $6^3 - 1 = 215$ and $7^3 - 1 = 342$, which match the given series.
Therefore, the missing term is 124.