Final answer:
To find the 30th term of the given sequence, we observe that each term is obtained by adding 4 to the previous term. Using the formula for the nth term of an arithmetic sequence, we find that the 30th term is 122.000.
Step-by-step explanation:
To find the 30th term of the sequence, we need to first determine the pattern or rule that governs the sequence. Looking at the given first three terms (6, 10, 14), we can see that each term is obtained by adding 4 to the previous term. So the common difference between terms is 4.
To find the 30th term, we can use the formula for the nth term of an arithmetic sequence: an = a1 + (n - 1)d, where an is the nth term, a1 is the first term, n is the term number, and d is the common difference.
Plugging in the values, we have: a30 = 6 + (30 - 1)4 = 6 + 29 * 4 = 6 + 116 = 122.
Therefore, the 30th term of the sequence is 122.000.