| 模型 | 模型答案 | 正确答案 |
|---|---|---|
| 金声玉亮2.0 | B. 32 |
B |
| deepseekr1 | The sequence starts with the first term as 2. Each subsequent term is obtained by multiplying the previous term by -2. Calculating step-by-step: 1. **Term 1**: 2 2. **Term 2**: \(2 \times (-2) = -4\) 3. **Term 3**: \(-4 \times (-2) = 8\) 4. **Term 4**: \(8 \times (-2) = -16\) 5. **Term 5**: \(-16 \times (-2) = 32\) The fifth term is **32**, corresponding to option **B**. Answer: B |
B |
| gpto1 | B | B |
| GPT-4o | To find the 5th term in the series where the first term is 2 and each subsequent term is −2 multiplied by the preceding term, we can follow these steps: 1. The first term (a1) is 2. 2. The second term (a2) is −2 * 2 = −4. 3. The third term (a3) is −2 * (−4) = 8. 4. The fourth term (a4) is −2 * 8 = −16. 5. The fifth term (a5) is −2 * (−16) = 32. So, the 5th term is 32. Answer: B |
B |
| llama3.1-70B-Instruct | A |
B |
| llama3.1-405B-Instruct | B. To solve, first determine the pattern in the series. The first term is 2, and each subsequent term is −2 multiplied by the preceding term. The series would look like this: 2, −4, 8, −16, 32. Therefore, the 5th term is 32. |
B |
| DeepSeek-Coder-V2 | C. −32 | B |
| Qwen2-72B-Instruct | C. −32 | B |
| baichuan4 | A. −16 | B |
| doubao | The first term is 2. The second term is 2 × (-2) = -4. The third term is -4 × (-2) = 8. The fourth term is 8 × (-2) = -16. The fifth term is -16 × (-2) = 32. So the answer is B. | B |
| minimax | Let's find the terms of the series step by step: 1st term: a_1 = 2 2nd term: a_2 = -2 * a_1 = -2 * 2 = -4 3rd term: a_3 = -2 * a_2 = -2 * (-4) = 8 4th term: a_4 = -2 * a_3 = -2 * 8 = -16 5th term: a_5 = -2 * a_4 = -2 * (-16) = 32 The 5th term in the series is 32. Answer: B. 32 |
B |
| kimi | A The series starts with the first term being 2. Each subsequent term is obtained by multiplying the previous term by -2. So the series goes as follows: 1st term: 2 2nd term: 2 * (-2) = -4 3rd term: -4 * (-2) = 8 4th term: 8 * (-2) = -16 5th term: -16 * (-2) = 32 Therefore, the 5th term is 32, which corresponds to option B. |
B |
| wenxinyiyan | C Explanation: This is a geometric series where the first term is 2 and the common ratio is -2. The general formula for the nth term of a geometric series is $a_n = a_1 \times r^{(n-1)}$ where $a_n$ is the nth term, $a_1$ is the first term, r is the common ratio and n is the term number. Using this formula, we can find the 5th term: $a_5 = 2 \times (-2)^{(5-1)}$ $a_5 = 2 \times (-2)^4$ $a_5 = 2 \times 16$ $a_5 = 32 \times -1$ (because the -2 is raised to an even power, it becomes positive, but we multiply by an additional -2 outside the exponentiation) $a_5 = -32$ |
B |
| zhipu | To find the 5th term in the series where the first term is 2 and each subsequent term is −2 multiplied by the preceding term, we can follow these steps: 1. The first term (a₁) is 2. 2. The second term (a₂) is \( -2 \times a₁ = -2 \times 2 = -4 \). 3. The third term (a₃) is \( -2 \times a₂ = -2 \times -4 = 8 \). 4. The fourth term (a₄) is \( -2 \times a₃ = -2 \times 8 = -16 \). 5. The fifth term (a₅) is \( -2 \times a₄ = -2 \times -16 = 32 \). So, the 5th term in the series is 32. Therefore, the correct answer is: B. 32 |
B |
| gpto1 | B | B |
| deepseekv3 | To find the 5th term in the series, let's calculate each term step by step: 1. **First term (a₁):** Given as 2. \( a₁ = 2 \) 2. **Second term (a₂):** Each subsequent term is \(-2\) multiplied by the preceding term. \( a₂ = -2 \times a₁ = -2 \times 2 = -4 \) 3. **Third term (a₃):** \( a₃ = -2 \times a₂ = -2 \times (-4) = 8 \) 4. **Fourth term (a₄):** \( a₄ = -2 \times a₃ = -2 \times 8 = -16 \) 5. **Fifth term (a₅):** \( a₅ = -2 \times a₄ = -2 \times (-16) = 32 \) Thus, the 5th term is **32**. Answer: **B** |
B |