The nth term of a different arithmetic sequence is #3n+5 #. Is 108 a term of this sequence?

1 Answer
Aug 11, 2017

No

Explanation:

Since #n# represents the number of the term in the sequence, it has to be a whole number, since we can't have a "3.5th" member. So the question becomes whether #3n+5=108# generates a whole number for #n#.

#3n+5=108#

#3n=108-5#

#3n=103#

#n=103/3#

#n=34.33333333#

So, the answer, since the n for 108 is not a whole number, is that 108 is not a member of the sequence.