Answer:
The 12th term is 38
Explanation:
Step one:
given the sequence 5, 8, 11, 14, 17, ...
We are required to find the nth term
the formula to find the nth term is given as
Tn = a1 + (n - 1 ) d
a1= the first term
n= the number of terms
d= the common difference
d = 8-5= 3 or 11-8= 3
Step two:
Now say we want to find the 12th term of the sequence n=12
substitute
T12= 5+(12-1)3
T12= 5+(11)3
T12= 5+33
T12= 38
The above formula is used to find the general (or nth) term of an arithmetic sequence.