Question

Identify the 35th term of an arithmetic sequence where a1 = -7 and a18 = 95

Answer 1

$a_1=-7;\ a_{18}=95\\\\a_{18}-a_1=17d\\\\17d=95-(-7)\\17d=95+7\\17d=102\ \ \ |divide\ both\ sides\ by\ 17\\d=6\\\\a_{35}=a_1+34d\\\\a_{35}=-7+34\cdot6=-7+204=197\\\\Answer:\boxed{a_{35}=197}$