Answer:
To find an explicit formula for the nth term of the sequence 35, 44, 53, we need to identify the pattern or relationship between the terms. In this case, we can observe that each term is obtained by adding 9 to the previous term.
Let's denote the first term of the sequence as a_1. Then, the explicit formula for the nth term (a_n) can be written as:
a_n = a_1 + (n - 1) * d
where d represents the common difference between consecutive terms.
In this sequence, the first term a_1 is 35, and the common difference d is 9. Substituting these values into the formula, we get:
a_n = 35 + (n - 1) * 9
Therefore, the explicit formula for the nth term of the sequence 35, 44, 53 is given by:
a_n = 35 + (n - 1) * 9
