Identify the 27th term of an arithmetic sequence where a1 = 38 and a17 = −74
−20.5
−151
−22.75
−144

Hello : the general terme is : an = ap +(n-p)r   n, p in N and r in R 
let n=17 and p =1
a17 = a1+(17-1)r
-74 = 38 +16r
16r =-112
r = -7
an = a1 +(n-1)r
a27 =38+26(-7) =−144

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