Question

What is the 35th term of the arithmetic sequence where a1 = 13 and a17 = -51 ?



-126

-123

-120

-117

Answer 1

\[-51=a_{17}=a_1+16d=13+16d\]\[-51=13+16d\]
\[-64=16d\]
\[d=-4\]
\[a_{35}=a_1+34d=13+(-4)34=13-136=-123\]