Question

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

-20.5
-151
-22.75
-144

Answer 1

d) -144

Explanation:

Answer 2

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