Task 256
Task 256: test task in emrekuruu/math-openenv, an RL environment on the Hugging Face Hub. Three distinct integers $a,$ $b,$ and $c$ have the following properties: $\bullet$ $abc = 17955$ $\bullet$ $a,$ $b,$ $c$ are three consecutive terms of an arithmetic sequence, in that order $\bullet$ $3a +…
The task
Three distinct integers $a,$ $b,$ and $c$ have the following properties: $\bullet$ $abc = 17955$ $\bullet$ $a,$ $b,$ $c$ are three consecutive terms of an arithmetic sequence, in that order $\bullet$ $3a + b,$ $3b + c,$ $3c + a$ are three consecutive terms of a geometric sequence, in that order Find $a + b + c.$