Question

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

an=-11 + (n-1)(-3)
O A. -141
O B. -152
O C. -133
O D. -155

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