Question

Write an equation for the nth term of the arithmetic sequence. -6,-9,-12,-15

Answer 1

Answer:

$a_{n}$ = - 3n - 3

Step-by-step explanation:

The nth term of an arithmetic sequence is

$a_{n}$ = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = - 6 and d = a₂ - a₁ = - 9 - (- 6) = - 9 + 6 = - 3 , then

$a_{n}$ = - 6 - 3(n - 1) = - 6 - 3n + 3 = - 3n - 3