Answer: [tex]t_{n}=-15+9(n-1)[/tex]
Step-by-step explanation:
The formula for finding the nth term of an arithmetic sequence is given as:
[tex]t_{n}=a+(n-1)d[/tex]
[tex]a =[/tex] first term = -15
[tex]d =[/tex] common difference = -6 - (-15) = 9
[tex]n =[/tex] number of terms
substituting into the formula , we have :
[tex]t_{n} = -15+(n-1)9[/tex]
[tex]t_{n}=-15+9(n-1)[/tex]
