Answer: 32
Step-by-step explanation:
This is an example of an arithmetic sequence as the difference between the first 3 terms is constant. We can see that 4 is constantly being subtracted.
[tex]a_{n}=a+(n-1)d[/tex] is the formula for an arithmetic sequence.
[tex]a_{n}[/tex] = nth term
a = the first term in the sequence
n = term you are looking for (in this case 45)
d = common difference between the terms (in this case -4)
∴
[tex]a_{n}=a+(n-1)d[/tex]
[tex]a_{45} =208+(45-1)(-4)\\a_{45}=32[/tex]
