Answer
(a)
Common difference: $d=3$
(b)
$a_n=2+(n-1)3$
(c)
$a_{35}=104$
Work Step by Step
(a)
$a_2-a_1=5-2=3$
$a_3-a_2=8-5=3$
$a_4-a_3=11-8=3$
$a_5-a_4=14-11=3$
Common difference: $d=3$
(b)
$a_n=a+(n-1)d$
$a_n=2+(n-1)3$
(c)
$a_{35}=2+(35-1)3=2+34(3)=2+102=104$