Final answer:
The 25th term of the arithmetic sequence {-1, 3, 7, 11, ...} is found by using the arithmetic sequence formula and is calculated to be 95.
Step-by-step explanation:
To find the 25th term of the given arithmetic sequence {-1, 3, 7, 11, ...}, we must first determine the common difference between consecutive terms. In this sequence, each term increases by 4 from the previous term (e.g., 3 - (-1) = 4, 7 - 3 = 4, etc.). Using the formula for the nth term of 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, we can find the 25th term.
To calculate the 25th term, let n = 25, a1 = -1, and d = 4. Plugging these values into the formula gives:
a25 = -1 + (25 - 1)×4
a25 = -1 + 24×4
a25 = -1 + 96
a25 = 95
Therefore, the 25th term of the sequence is 95.