Answer:
[tex]a_{n}= 11 -3n[/tex] , domain ( -∞,∞).
Step-by-step explanation:
Given: An arithmetic sequence with a first term of 8 and a second term of 5.
To find : What are the explicit equation and domain
Solution : We have given that First term = 8.
Second term = 5.
By the explicit equation formula : [tex]a_{n}= a_{1} +(n-1)d[/tex]
[tex]a_{n}[/tex] = the nth term in the sequence
.
[tex]a_{1}[/tex] = the first term in the sequence
n = the term number
d = the common difference.
Common difference = second term - first term .
5 - 8 = -3
Then , [tex]a_{n}= 8 +(n-1)(-3)[/tex].
[tex]a_{n}= 8 -3n +3[/tex].
[tex]a_{n}= 11 -3n[/tex].
Therefore, [tex]a_{n}= 11 -3n[/tex] and domain domain ( -∞,∞).
