# Find the 30th term of the arithmetic series 2, 5, 8, …

Find the 30th term of the arithmetic series 2, 5, 8, …
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Jane Acosta
Given: arithmetic series 2,5,8
arithmetic series have the form: ${a}^{n}={a}_{1}+\left(n-1\right)d$
d= the common difference
$d={a}_{2}-{a}_{1}={a}_{3}-{a}_{2}=8-5=3$
${a}^{n}=2+3\left(n-1\right)$
To find the 30th term, let n=30:
${a}_{30}=2+3\left(30-1\right)=2+3\left(29\right)=2+87=89$