1. **State the problem:** We have a sequence where each term is found by multiplying the previous term by 4 and then subtracting 32. 2. **Given:** The 10th term, $a_{10} = 25$. 3. **Find:** The 11th term, $a_{11}$. 4. **Formula for term-to-term rule:** $$a_{n+1} = 4a_n - 32$$ 5. **Apply the formula to find $a_{11}$:** $$a_{11} = 4a_{10} - 32$$ 6. **Substitute $a_{10} = 25$:** $$a_{11} = 4 \times 25 - 32$$ 7. **Calculate:** $$a_{11} = 100 - 32$$ $$a_{11} = 68$$ **Final answer:** The 11th term is $68$.