To find the sum of the first 22 terms of an arithmetic sequence, we can use the formula:
Sn = (n/2)(2a + (n-1)d)
where Sn represents the sum of the first n terms, a is the first term, d is the common difference, and n is the number of terms.
In this case, the first term a is 5, the common difference d is 2, and the number of terms n is 22. Substituting these values into the formula, we get:
S22 = (22/2)(2(5) + (22-1)(2))
= 11(10 + 21(2))
= 11(10 + 42)
= 11(52)
= 572
Therefore, the sum of the first 22 terms of the arithmetic sequence is 572.