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

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Solution

Calculation of the $n^{t h}$ term of $A P$ :
Given: $a_{1} = - 8, d = 5$ .
$n^{t h}$ term of an $A P$ is given by $a_{n} = a_{1} + (n - 1) d$ .
Substitute $a_{1}$ as $- 8$ and $d$ as $5$ in $a_{n} = a_{1} + (n - 1) d$ .
$a_{n} = - 8 + (n - 1) 5 = - 8 + 5 n - 5 = 5 n - 13$
Hence, the $n^{t h}$ term is $5 n - 13$ .

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How do I find the nth term of the arithmetic sequence whose initial term and common difference d are given below?a1=-8,d=5.

Calculation of the nth term of AP:Given: a1=-8,d=5.nth term of an AP is given by an=a1+n-1d.Substitute a1 as -8 and d as 5 in an=a1+n-1d.an=-8+n-15=-8+5n-5=5n-13Hence, the nth term is 5n-13.

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