API · no tools. This is the prompt and response recorded for this attempt; a full solution may not have been returned.
Problem Statement
This is a Korean CSAT mathematics multiple-choice problem. Solve it and put only the correct choice symbol, one of ①, ②, ③, ④, ⑤, inside \boxed{}.
Problem 25 Let{a n}be a sequence such that, for every natural numbern, √ 9n2 −5 + 2n < a n <5n+ 1. Evaluate lim n→∞ (an + 2)2 nan + 5n2 −2 . [3 points] ① 1 2 ② 3 2 ③ 5 2 ④ 7 2 ⑤ 9 2
Ground Truth
③
Recorded model response / solution
Reasoning Process
\boxed{③}
Final Model Output
③
Comparative Analysis (P32) (Average across runs)
Averages use reported measurements only. Missing usage is not treated as zero.
Avg Time Taken
Motif 3
24.0
Solar Pro 4
18.3
Kimi K3
10.0
K-EXAONE-2
7.0
Avg Token Usage
K-EXAONE-2
1771.0
Solar Pro 4
1205.3
Kimi K3
770.7