Answer:
Tn = 3n + 1
Step-by-step explanation:
The given sequence 2,5,8,11,14 is an arithmetic sequence
The nth term of an arithmetic sequence is expressed as;
Tn = a + (n-1)d
a is the first term
d is the common difference
n is the number of terms
Given
a = 2
d = 5-2 = 8-5 = 3
Substitute into the formula
Tn = 2 + (n-1) * 3
Tn = 2 + 3n - 3
Tn = 3n + 1
This gives the term rule for the sequence
