Final answer:
The eleventh term of the arithmetic sequence 0, 8, 16, ... is calculated using the formula for an arithmetic sequence. With a common difference of 8, the eleventh term is determined to be 80.
Step-by-step explanation:
To determine the eleventh term of the arithmetic sequence 0, 8, 16, ..., we need to identify the common difference and use it to calculate the term. The common difference d is the difference between consecutive terms. In this case, d = 16 - 8 = 8. The formula for the nth term of an arithmetic sequence is an = a1 + (n - 1)d, where a1 is the first term and n is the term number,
Using the formula with the first term a1 = 0, common difference d = 8, and n = 11, we can calculate the eleventh term:
a11 = 0 + (11 - 1) × 8 = 0 + 10 × 8 = 80.
We can observe that each term is obtained by adding 8 to the previous term.
To find the eleventh term, we can use the formula:
nth term = first term + (n - 1) * common difference
Substituting the values, we get:
11th term = 0 + (11 - 1) * 8 = 0 + 10 * 8 = 80
Therefore, the eleventh term of the arithmetic sequence is 80.