Determine whether the sequence below is a geometric sequence and, if so, find a formula that describes the sequence. 1, 3, 9, 27
, 81,...
2 answers:
a geometric sequence is a bunch of numbers where you can get from a number to the next number by multiplying the previous number by a certain number
might be confusing so here's an example
1,2,4,8,16
each term is multiplied by 2 to get next term, that number that each term is multiplied by is called the common ratio
formula for geometric sequence is

where
is nth term
is first term
r is teh common ratio
n=which term
in our example
1,3, 9, 27, 81
each term is being multiplied by 3 so it is a geometric sequence and thus r=3
also first term is 1 so 
so the formula is
or in function notation 
This is a geometric sequence.
from 1-3 one is multiplied by three
from 3-9 three is multiplied by three
from 9-27 nine is multiplied by three
and from 27-81 27 is multiplied by three
Hope this helped!!
|Sophia M|
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