Question

Identify the 27th term of an arithmetic sequence where a1 = 38 and a17 = -74.

Answer 1

Arithmetic sequence:
an=a1+(n-1)d
$a_{17}= a_{1}+16d -74=38 + 16d 16d=-74-38 16d=-112$
d=-112/16=-7
$a_{27}=a_{1} + 26d=38+26*(-7)=38-182=-144$
Answer: D)-144