| { | |
| "problem": "The first and thirteenth terms of an arithmetic sequence are 5 and 29, respectively. What is the fiftieth term?", | |
| "level": "Level 3", | |
| "type": "Algebra", | |
| "solution": "Let $d$ be the common difference in this arithmetic sequence. Then the $13^{\\text{th}}$ term is $5 + 12d = 29$. Solving for $d$, we find $d = 2$. Then the $50^{\\text{th}}$ term is $5 + 49 \\cdot 2 = \\boxed{103}$." | |
| } |