Final answer:
The sixth term in the arithmetic sequence is 28.67, found by first obtaining the common difference between terms and using it to calculate the value of subsequent terms.
Step-by-step explanation:
The question asks us to determine the value of the sixth term in an arithmetic sequence. To find this, we need to identify the common difference between the terms, which means looking at the sequence and observing the amount by which each term increases. Since we are told that the terms increase by the same number each time, we can use the information provided to find the common difference. We are given two terms in the sequence, Term 1 which is 2 and Term 4 which is 18. The difference between Term 4 and Term 1 is 18 - 2 = 16, and since there are 3 steps between Term 1 and Term 4, the common difference is 16 / 3 = 5.3333
To find Term 6, we then add the common difference to Term 5, which we get by adding the common difference to Term 4. Since we have the value of Term 4 (18), we can find the value of Term 5 by adding the common difference: 18 + 5.3333 = 23.3333. Finally, we find Term 6 by adding the common difference again: 23.3333 + 5.3333 = 28.6666, which we can round to 28.67 if necessary.