Answer:
[tex]a_{42}=-98[/tex]
Step-by-step explanation:
Arithmetic sequence formula:
[tex]a_n=a_1+(n-1)d[/tex], where a is the term, n is the position of the term, and d is the common difference between the terms.
Plug in values:
[tex]a_{42}=4.5+(42-1)(-2.5)[/tex]
Solve:
[tex]a_{42}=4.5+(41)(-2.5)\\a_{42}=4.5-102.5\\a_{42}=-98[/tex]
