Option B
48th term of arithmetic sequence is -152
Given that a arithmetic sequence has explict formula,
[tex]a_n = -11 + (n - 1)(-3)[/tex]
To find: 48th term of the arithmetic sequence
The nth term of arithmetic sequence can be found by substituting the required value of n in the explict formula
So 48th term of the arithmetic sequence can be found by substituting n = 48 in explict formula
[tex]a_n = -11 + (n - 1)(-3)[/tex]
Plug in n = 48
[tex]a_{48} = -11 + (48 - 1)(-3)[/tex]
On solving we get,
[tex]a_{48} = -11 + (47)(-3)\\\\a_{48} = -11 - 141\\\\a_{48} = - 152[/tex]
Thus 48th term of arithmetic sequence is -152
