Answer :
The 30th term of the arithmetic sequence is -162.
How to find the terms of an arithmetic sequence?
The sequence is an arithmetic sequence. Therefore, the 30th term of the arithmetic sequence can be found as follows:
12, 6, 0, -6, ...
aₙ = a + (n - 1)d
where
- n = number of terms
- d = common difference
- a = first term
Therefore,
a = 12
d = 6 - 12 = -6
n = 30
Therefore,
a₃₀ = 12 + (30 - 1)-6
a₃₀ = 12 + (29)-6
a₃₀ = 12 - 174
a₃₀ = -162
Therefore,
30th term = -162
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