1. **State the problem:** We are given the sequence formula $u_n = 5 + 4(n-1)$ and need to determine if 116 is a term in this sequence. 2. **Write the formula:** The general term of the sequence is given by $$u_n = 5 + 4(n-1)$$ 3. **Set the term equal to 116:** To check if 116 is a term, set $$116 = 5 + 4(n-1)$$ 4. **Solve for $n$:** $$116 = 5 + 4n - 4$$ $$116 = 1 + 4n$$ $$116 - 1 = 4n$$ $$115 = 4n$$ $$n = \frac{115}{4}$$ 5. **Simplify and interpret:** $$n = 28.75$$ Since $n$ must be a positive integer (term number in the sequence), and $28.75$ is not an integer, 116 is **not** a term in the sequence. **Final answer:** 116 is not a term in the sequence defined by $u_n = 5 + 4(n-1)$.