Final answer:
The value of the 86th term of the arithmetic sequence 18, 21, 24,... is 273, using the formula for the nth term of an arithmetic sequence with the first term as 18 and the common difference as 3. the value of the 86th term of the sequence is 273, which is not one of the options provided in the question
Step-by-step explanation:
To find the value of the 86th term of the arithmetic sequence 18, 21, 24,..., we can use the formula for the nth term of an arithmetic sequence:
Tn = a + (n - 1)d
Where Tn is the nth term, a is the first term, n is the term number, and d is the common difference.
For the sequence 18, 21, 24,..., we have:
- a = 18 (first term)
- d = 21 - 18 = 3 (common difference)
Inserting these values into the formula to find the 86th term:
T86 = 18 + (86 - 1)×3
T86 = 18 + 85×3
T86 = 18 + 255
T86 = 273
Therefore, the value of the 86th term of the sequence is 273, which is not one of the options provided in the question.