1. **State the problem:** Jason records songs in a pattern: 2 songs on day 1, 4 songs on day 2, 8 songs on day 3. We need to find how many songs he records on day 5. 2. **Identify the pattern:** The number of songs doubles each day. This is an exponential growth pattern. 3. **Write the formula:** The number of songs on day $n$ is given by $$\text{songs} = 2^{n}$$ where $n$ is the day number. 4. **Calculate for day 5:** Substitute $n=5$ into the formula: $$\text{songs} = 2^{5}$$ 5. **Evaluate:** $$2^{5} = 2 \times 2 \times 2 \times 2 \times 2 = 32$$ 6. **Check answer choices:** - A: $2 \times 5 = 10$ (incorrect) - B: $3^{2} = 9$ (incorrect) - C: $2^{5} = 32$ (correct) - D: $2^{4} = 16$ (incorrect) **Final answer:** Jason records **32 songs** on day 5, which corresponds to choice C.