Answer:
The given sequence is an arithmetic sequence, which means it increases by a constant difference. The common difference (d) can be found by subtracting the first term from the second term, or the second term from the third term, and so on.
In this case, d = 15 - (-1) = 16 or d = 31 - 15 = 16.
The formula for the nth term of an arithmetic sequence is a + (n - 1)d, where a is the first term, n is the term number, and d is the common difference.
So, to find the 75th term, we substitute a = -1, n = 75, and d = 16 into the formula:
75th term = -1 + (75 - 1) * 16 = -1 + 74 * 16 = -1 + 1184 = 1183.
So, the 75th term of this arithmetic sequence is 1183. I hope this helps! Do you have any other questions?