Justin gave some pencils to all his students who took the exams. The $1$\textsuperscript{st}~student got $5$ pencils, the $2$\textsuperscript{nd}~student got $11$ pencils, the $3$\textsuperscript{rd}~student got $17$ pencils, the $4$\textsuperscript{th}~student got $23$ pencils, and so on. Given that the numbers of pencils received by the students formed an arithmetic sequence and the last student got $131$ pencils, find the total number of students who took the exams in Justin\textquotesingle s class. 
Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Arithmetic Sequences