The 15th term of the arithmetic sequence [tex]a_{15} = 64[/tex]
Option B is correct
The nth term of an arithmetic sequence is given as:
[tex]a_{n} = a + (n - 1)d[/tex]
The first value, a = 22
[tex]a_8 = a+(8 - 1)d\\a_8 = a + 7d[/tex]
Since [tex]a_8 = 43[/tex]
[tex]43 = 22 + 7d\\7d = 43 - 22\\7d = 21\\d = \frac{21}{7}\\d = 3[/tex]
The common difference, d = 3
[tex]a_{15}= a + (15-1)d\\a_{15} = a + 14d\\a_{15} = 22 + 14(3)\\a_{15} = 22 + 42\\a_{15} = 64[/tex]
The 15th term of the arithmetic sequence = 64
Learn more here: https://brainly.com/question/24072079
