An arithmetic sequence is defined by the recursive formula t1 = 11, tn = tn - 1 - 13, where n ∈N and n > 1. Which of these is the general term of the sequence?

Respuesta :

coolio

[tex]t_1=11[/tex]

[tex]t_n=t_{n-1}-13[/tex]

so each term is ound by subtracting 13 from the previous term


an aritmetic sequence can be written as

[tex]t_n=t_1+d(n-1)[/tex] were

[tex]t_n[/tex] is the nth term

[tex]t_1[/tex] is the first term

d is common difference, which can also be found by doing [tex]t_n-t_{n-1}=d[/tex]

n=wich term


we know that [tex]t_1=11[/tex] and we can find d

[tex]t_n=t_{n-1}-13[/tex], [tex]t_n-t_{n-1}=-13=d[/tex]

so te general term is [tex]t_n=11-13(n-1)[/tex] which can also be expanded and written as [tex]t_n=-13n+24[/tex]

Answer:

Tn= 11 - 13(n-1), where n ∈N and n ≥ 1

Step-by-step explanation:

I took the test, that's the right answer

hope this helps