Question

Find the nth term of this sequence -84, -81, -78, -75, -72

Answer 1

Answer:

-50

Step-by-step explanation:

The numbers are separated by three

Answer 2

Answer:

$a_{n}$ = 3n - 87

Step-by-step explanation:

There is a common difference between consecutive terms , that is

- 81 - (- 84) = - 78 - (- 81) = - 75 - (- 78) = - 72 - (- 75) = 3

This indicates the sequence is arithmetic with nth term

$a_{n}$ = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = - 84 and d = 3 , then

$a_{n}$ = - 84 + 3(n - 1) = - 84 + 3n - 3 = 3n - 87