The formula that defines the sequence is Tn = 4n - 2
Given the following sequence 2, 6, 10, 14, 18
From the sequence:
First-term a = 2
Common difference d = 6 - 2 = 10 - 6 = 4
Since there is a common difference, the sequence is an arithmetic sequence.
The nth term of the arithmetic sequence is expressed as:
[tex]T_n=a+(n-1)d[/tex]
Substitute the given data into the formula:
[tex]T_n=a+(n-1)d\\T_n=2+(n-1)(4)\\T_n=2+(4n-4)\\T_n=2+4n-4\\T_n=4n-2\\[/tex]
This shows that the formula that defines the sequence is Tn = 4n - 2
Learn more here: https://brainly.com/question/17099690
