Answer:
68
Step-by-step explanation:
The first differences of the given terms are ...
8 -5 = 3
11 -8 = 3
These are the same value, so we see this sequence is an arithmetic sequence with a common difference of 3. The first term is 5.
The explicit formula for the n-th term is ...
an = a1 +d(n -1)
We know a1=5, d=3, and we want to find the value for n=22. Hence ...
a22 = 5 +3(22 -1) = 5 +63 = 68
The 22nd term is 68.
