How do I find the $n^{t h}$ term of the arithmetic sequence whose initial term and the common difference $d$ is given as : $a_{1} = - 8, d = 5$

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Solution

Determining the $n^{t h}$ term.
The $n^{t h}$ term of an arithmetic sequence is given by,
$n^{t h} = a_{1} + (n - 1) d$
Substituting $a_{1} = - 8, d = 5$ in the formula,
$\Rightarrow n^{t h} term = - 8 + (n - 1) 5 = - 8 + 5 n - 5 = 5 n - 13$
Hence, the $n^{t h}$ term is $5 n - 13$ .

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