Answer:the 22nd term is 117
Step-by-step explanation:
The formula for determining the nth term of an arithmetic sequence is expressed as
Tn = a + (n - 1)d
Where
a represents the first term of the sequence.
d represents the common difference between successive terms.
n represents the number of terms in the sequence.
From the information given,
a = 12
d = 17 - 12 = 22 - 17 = 27 - 22 = 5
n = 22
We want to determine the value of the 22nd, T22. Therefore,
T22 = 12 + (22 - 1)5
T22 = 12 + 105 = 117