Solution

The given series:

$$3, \; 10, \; 27, \; 4, \; 16, \; 64, \; 5, \; 25, \; 125 $$

We notice the pattern should be in triplets:

\[ n, \; n^2, \; n^3 \]

For \(n = 3\): \((3, 9, 27)\) but the series has \(10\) instead of \(9\). 

For \(n = 4\): \((4, 16, 64)\) ✓ 

For \(n = 5\): \((5, 25, 125)\) ✓

Thus, the wrong term is:

\[ \boxed{10} \]