6, 1, -4, -9,...
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Is this sequence arithmetic or geometric? What's the common difference or common ratio? What is the recursive formula?

Respuesta :

Texaschic nailed it when saying that it's arithmetic

The recursive way to write this is to say

[tex]a_1 = 6[/tex]
[tex]a_n = a_{n-1} - 5[/tex]

which tells us "start at 6 and each time subtract off 5"

The [tex]a_n[/tex] portion is the nth term while [tex]a_{n-1}[/tex] is the term just before the nth term
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