$3,8,13$, $\_\_\_\_$ is an arithmetic sequence. a What is the common difference ? b What is its $11^{\text {th }}$ term ?
Explanation
The common difference is the difference between consecutive terms in an arithmetic sequence. In this case, the common difference is 5 (13 - 8 = 5). The nth term of an arithmetic sequence can be found using the formula: an = a1 + (n-1)d, where a1 is the first term, n is the term number, and d is the common difference. In this case, the 11th term is a11 = 3 + (11-1)5 = 3 + 50 = 53. However, the question asks for the 11th term, and the correct 11th term is 53, not 34.
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