The 11th term of of the sequence 3, 11, 19, 27, ______?
- 73
- 63
- 83
- None of these
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
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