Answer:
[tex]a_{64}=917[/tex]
Step-by-step explanation:
Given that,
The arithmetic sequence is :
-28,-13,2
First term = -28
Common difference = -13-(-28) = 15
We need to find the 64th term of the sequence. The nth term of the sequence is given by :
[tex]a_n=a+(n-1)d[/tex]
Put all the values,
[tex]a_{64}=-28+(64-1)15\\\\=917[/tex]
So, the 64th term of the sequence is equal to 917.