Question

Find the 27th term of the arithmetic sequence where a₁ is -13 and the common difference is 4.

Answer 1

`n^(th)\textit{ term of an arithmetic sequence} \\\\ a_n=a_1+(n-1)d\qquad \begin{cases} a_n=n^(th)\ term\\ n=\textit{term position}\\ a_1=\textit{first term}\\ d=\textit{common difference}\\[-0.5em] \hrulefill\\ a_1=-13\\ d=4\\ n=27 \end{cases} \\\\\\ a_(27)=-13+(27-1)4\implies a_(27)=-13+104\implies a_(27)=91`