How do you tell whether the sequence #3, 5, 7, 9, 11,...# is geometric?

1 Answer
Feb 23, 2017

It is not geometric.
# a_n = 2n + 1 #


Since in a geometric sequence each term after the first is found by multiplying the previous one by a fixed, non-zero number, thus we have to get that number by dividing nth term by the previous term.

We can say a sequence is geometric if and only if all of the division answers are fixed and constant.

# \frac{5}{3} \ne \frac{7}{5} # so your sequence is not geometric.