Answer: The nth term of the sequence is given by the formula 2n + 11
Explanation:
The given sequence is an arithmetic sequence because the difference between each pair of consecutive terms is the same. In this case, the common difference is 2, because:
15 - 13 = 2
17 - 15 = 2
and so on
The formula for the nth term of an arithmetic sequence is:
an = a1 + (n-1)d
where an is the nth term, a1 is the first term, n is the term number, and d is the common difference.
For this sequence, the first term (a1) is 13 and the common difference (d) is 2. Therefore, the formula for the nth term is:
an = 13 + (n-1)2
Simplifying this expression, we get:
an = 2n + 11