Explanation

Given the sequence 3, 11, 19, 27:

Step 1: Identify the pattern

The common difference between each term is 8 (11 - 3 = 8, 19 - 11 = 8, 27 - 19 = 8).

Step 2: Calculate the 11th term

The nth term of an arithmetic sequence can be found using the formula: an = a1 + (n - 1)d, where a1 is the first term and d is the common difference.

For the 11th term:

a11 = 3 + (11 - 1) * 8

a11 = 3 + 10 * 8

a11 = 3 + 80

a11 = 83