Answer
The formula for the nth term of the sequence is
a(n) = -8 + 6(n - 1)
Step-by-step explanation:
Given the following sequence
-8, -2, 4
Let the first term be -8
Secondly, find the common difference
The common difference
-2- (-8)
-2 + 8 = 6
or
4 -(-2)
4 + 2 = 6
Therefore, the common difference is 6
The nth term of an arithmetic sequence is giving as
a(n) = a + (n - 1) d
let a = -8 and d = 6
a(n) = -8 + (n - 1)6
a(n) = -8 + 6(n - 1)
Hence, the formula for the nth term of the sequence is a(n) = -8 + 6(n - 1)
