A sequence is given by the recursive rule \(t_1= -5,\)  \(t_{n+1}=t_n+ 3 \) for \(n\geq1\).

Compute the first five terms of the sequence
 
i\(,\)i\(,\)i\(,\)i\(,\)i

Is \(52\) a term of this sequence?