Answer:
[tex]a_{64} = -313[/tex]
Step-by-step explanation:[tex]a_{64} = 2 -135[/tex]
This is the Arithmetic Sequence Formula-> [tex]a_{n} = a_{1} + (n+1) d[/tex]
1) The d represents your difference of the equation. You can find it by finding a pattern between the three numbers given, which is -5
2) Now that we've found our difference, we can plug it into this lovely sequence we have [tex]a_{64} = a_{1} + (64-1) -5[/tex] (by the way, your n represents your term that you plug into the equation)
3) [tex]a_{64} = 2 + (64-1) -5[/tex] This also means that [tex]a_{1}[/tex] is our first term, which is 2
4) Simplify [tex]a_{64} = 2 + (63) -5[/tex] --> [tex]a_{64} = 2 +-315[/tex]
5) [tex]a_{64} = -313[/tex]
The formula is confusing at first, but it becomes easier once your learn the patterns!
