Question

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

Answer 1

Answer:

-149

Step-by-step explanation:

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

by observation

when n = 0, $a_{0}$ = 1st term

when n = 1, $a_{1}$ = 2nd term

.....

when n = x,  $a_{x}$ = (x+1)th term

hence if we want to find the 48th term, n = 48 - 1 = 47

when n = 47, $a_{47}$ = 48th term

= -11 + (47-1)(-3)

= -11 + 46(-3)

= - 11 - 138

= -149