Answer:
-149
Step-by-step explanation:
[tex]a_{n}[/tex] =-11 + (n - 1)(-3)
by observation
when n = 0, [tex]a_{0}[/tex] = 1st term
when n = 1, [tex]a_{1}[/tex] = 2nd term
.....
when n = x, [tex]a_{x}[/tex] = (x+1)th term
hence if we want to find the 48th term, n = 48 - 1 = 47
when n = 47, [tex]a_{47}[/tex] = 48th term
= -11 + (47-1)(-3)
= -11 + 46(-3)
= - 11 - 138
= -149
