To find the 25th term of the sequence represented by 5, 2, -1, -4, -7,..., we can observe that each term is obtained by subtracting 3 from the previous term.
Starting from the first term (5), we can use the formula:
=+d×(n−1)
where:
represents the nth term of the sequence,
represents the first term of the sequence (5),
d represents the common difference between the terms (-3),
and n represents the term number we want to find (25).
Substituting the values into the formula, we have: