Question

Given the sequence 2, 6, 18, 54, ..., what expression would give the fifteenth term?

Answer 1

ok, well, first of all, is this an additive or geometric sequece?
(try to figure out the pattern)

Answer 2

um...no clue

Answer 3

ok, well, how do you get from 2 to 6, and then from 6 to 18?

Answer 4

multiply by 3

Answer 5

ok, so then it's geometric - which means you multiply to get from one term to the other
now the expression is given by 2(3^(n-1)) where n is the number of the term youre looking for
do you see how that works?

Answer 6

so 2x3^15

Answer 7

no, because it's n-1
so 2x3^14

Answer 8

oh, ok. thanks

Answer 9

anytime :)