Answer:
Tn = 8n - 2
Explanation:
Given the arithmetic sequence
6, 14, 22, 30, 38
The nth term is expressed as;
Tn = a +(n-1)d
a is the first term = 6
d is the common difference = 14 - 6 = 22 - 14 = 8
Substitute into the formula;
Tn = 6 + (n-1)(8)
Tn = 6 + 8n-8
Tn = 8n - 2
Hence the nth term of the sequence is 8n-2