Question

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

Answer 1

Answer:

$a_{n}$ = 10 - 3n

Step-by-step 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