A sequence is a pattern of numbers or elements that follows a set of rules.
The sequence of the given dataset is:
\(T_n = T_{n-1} - 2\) where \(T_1 = 100\)
Given that:
\(Sequence: 100,99,97,94,90\)
Let n represent the current term
So, we have:
\(T_1 = 100\)
\(T_2 = 99\)
\(T_5 = 90\)
Notice the following:
\(T_1 = 100\)
\(T_2 = 100 - 1 = T_1 - 1\)
\(T_3 = 99 - 2 = T_2 - 2\)
and so on
Rewrite the third term as:
\(T_3 = T_2 - 2\)
Express 2 as 3 - 1
\(T_3 = T_{3-1} - 2\)
Recall that: n represents the current term.
So, we have:
\(T_n = T_{n-1} - 2\)
Hence, the sequence is:
\(T_n = T_{n-1} - 2\) where \(T_1 = 100\)
Read more about sequence at:
https://brainly.com/question/13382968
