Question

Write the rule of the nth term of each sequence 7,4,1,-2

Answer 1

`a_(n)` = 10 - 3n

Explanation:

the terms 7, 4, 1, - 2 form an arithmetic sequence with n th term

`a_(n)` =
`a_(1)` + (n - 1)d

where d is the common difference and
`a_(1)` the first term

here d = - 2 - 1 = 1 - 4 = 4 - 7 = - 3 and
`a_(1)` = 7, hence

`a_(n)` = 7 - 3(n - 1) = 7 - 3n + 3 = 10 - 3n