Final answer:
To find the nth term of the sequence 0.25, 0.75, 1.25, 1.75, 2.25, an arithmetic sequence formula is used, resulting in the formula A(n) = 0.50n - 0.25, which is option B.
Step-by-step explanation:
The first five terms in a pattern are given as 0.25, 0.75, 1.25, 1.75, 2.25. To find the nth term of this sequence, we must recognize the pattern and derive a formula that will allow us to calculate any term in the sequence.
Observing the sequence, we see that each term increases by 0.50 compared to the previous term. This indicates that the sequence has a constant difference, which means it is an arithmetic sequence. The first term (0.25) is our starting point, and since the common difference is 0.50, the nth term will be:
A(n) = 0.25 + (n - 1) * 0.50
Expanding and simplifying this expression provides:
A(n) = 0.25 + 0.50n - 0.50
A(n) = 0.50n - 0.25
Therefore, the correct expression to find the nth term of the sequence is B. 0.5n - 0.25.