Question

What is the 48th term of the arithmetic sequence with this explicit formula?

Answer 1

Option B

48th term of arithmetic sequence is -152

Solution:

Given that a arithmetic sequence has explict formula,

$a_n = -11 + (n - 1)(-3)$

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

$a_n = -11 + (n - 1)(-3)$

Plug in n = 48

$a_{48} = -11 + (48 - 1)(-3)$

On solving we get,

$a_{48} = -11 + (47)(-3)\\\\a_{48} = -11 - 141\\\\a_{48} = - 152$

Thus 48th term of arithmetic sequence is -152