Final answer:
The nth term of the sequence 13, 22, 31, 40, 49 can be found using the formula for an arithmetic sequence and is 9n + 4.
Step-by-step explanation:
To determine the nth term of the sequence 13, 22, 31, 40, 49, we should first identify the pattern of the sequence. By observing the given numbers, we can see that each term is increasing by 9. Moreover, the sequence starts at 13, which is 4 more than the first multiple of 9. A common approach to find the nth term of such a linear sequence is to use the formula for an arithmetic sequence, which 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 between the terms.
For the given sequence, a1 = 13 and d = 9. Plugging these values into the formula gives us an = 13 + (n-1)(9), or an = 9n + 4. Therefore, the nth term of the sequence is 9n + 4.
The given sequence is 13, 22, 31, 40, 49. To determine its nth term, we need to find the pattern or rule that governs the sequence. In this case, if we observe carefully, we can see that each term is obtained by adding 9 to the previous term. Therefore, the nth term can be found using the formula:
nth term = first term + (n-1) * common difference
where the first term is 13 and the common difference is 9. Plugging in these values, we can simplify the formula to:
nth term = 13 + 9(n-1)
So, the nth term of the given sequence is 13 + 9(n-1).