The big triangle is divided into 6 smaller triangular sectors. Let's look at the mathematical pattern behind the numbers in each sector, starting from the top-left and moving counter-clockwise:
- Top-Left Sector: 2
\2 = 1^3 + 1$
- Middle-Left Sector: 6
\6 = 2^3 - 2$
- Bottom-Left Sector: 30
\30 = 3^3 + 3$
- Bottom-Right Sector: 60
\60 = 4^3 - 4$
- Middle-Right Sector (?)
Following the alternating (+/−) sequence of n3±n:
\text{?} = 5^3 + 5 = 125 + 5 = \mathbf{130}$ 6. **Top-Right Sector:** \$210$ Continuing the pattern to verify: $\$210 = 6^3 - 6 = 216 - 6 = 210
The mathematical logic perfectly fits every sector. Thus, the missing number is 130.
