To solve this problem, we need to know the formula for the nth term of an arithmetic sequence. The formula is [tex] a_{n} [/tex] = t₁ + (n-1)d, with [tex] a_{n} [/tex] being the nth term, t₁ being the first term, and d being the distance between terms. Now we can substitute values to figure out what [tex] a_{n} [/tex] is. When substituting, the equation becomes:
[tex] a_{n} [/tex] = 12 + 29(-6)
[tex] a_{n} [/tex] = -162
That means that the 30th term in this arithmetic sequence is -162.
