Use the explicit rule to find the 22nd term of the sequen e 5,8.11

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.