Respuesta :
Answer:
[tex]a_n=-8n-7[/tex] is the closed linear form of the given sequence.
Step-by-step explanation:
Given that [tex]a_1=-15[/tex] and [tex]a_{n+1}=a_n-8[/tex]
To find the closed linear form for this given sequence :
So each of the successive term of the given sequence is decreases by 8
Therefore the common difference is -8
The given sequence is a arithmetic sequence.
The general form is [tex]a_n=a_1+(n-1)d[/tex]
Substitute [tex]a_1=-15[/tex] and d=-8 in [tex]a_n=a_1+(n-1)d[/tex] we get
[tex]a_n=-15+(n-1)(-8)[/tex]
[tex]=-15-8n+8[/tex]
[tex]a_n=-8n-7[/tex]
Therefore [tex]a_n=-8n-7[/tex] is the closed linear form of the given sequence.
Answer:
c) an=-7+8n
Step-by-step explanation:
i got it wrong and it told me the right answer so ill make sure you guys don't get it wrong :3