Answer:
434
Step-by-step explanation:
Looking at this sequence, we can immediately tell that it is arithmetic, because the terms keep adding up by 9.
Now that we know it is arithmetic, we can use the formula:
[tex]t_{n} = t_{1} + (n-1)d[/tex]
Where tn represents the nth number, t1 represents the first term, and d represents the increasing change.
Plugging in the given values, we have:
[tex]t_{48}= 11+(48-1)9\\t_{48}=11+47*9\\t_{48}= 11+423\\t_{48}=434[/tex]
