Question

Please help me with this,............

Answer 1

`a_(n)` = 5n - 22

Explanation:

The n th term of an arithmetic sequence is

`a_(n)` = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Given a₂ = - 12 , then

a₁ + d = - 12 , that is

a₁ + 5 = - 12 ( subtract 5 from both sides )

a₁ = - 17

Thus

`a_(n)` = - 17 + 5(n - 1)

= - 17 + 5n - 5

= 5n - 22