human
Use the nth term rule of an ascending integer linear sequence to test whether a term belongs in the sequence or not Eliza is trying to work out if \( 82 \) is a term in the sequence \( 3 n+1 \)

Below is her working out. What conclusion should Eliza draw?

 \( \begin{aligned} 3 n+1 & =82 \\ 3 n & =81 \\ n & =27\end{aligned} \) \( 27 \) is in the sequence and is the \( 82^{\text {nd }} \) term
gpt
Mixes up term in a sequence and position of a term