To find the 50th term of the given sequence: 100, 90, 80, 70,...
We can observe that each term is obtained by subtracting 10 from the previous term.
Starting from the first term (100), we can use the formula:
=+d×(n−1),
where:
represents the nth term of the sequence,
represents the first term of the sequence (100),
d represents the common difference between the terms (-10),
and n represents the term number we want to find (50).
Substituting the values into the formula, we have: