Question

write the rule to explain the pattern and find the missing numbers: 5,832; BLANK; 648; 216; 72; BLANK; 8

Answer 1

The sequence is given by:
5832, ...., 648, 216, 72,..., 8, .....
The rule that explains the sequence will be given as follows:
first term=5832
common ratio=216/648=72/216=1/3
given that the sequence has a common ratio, then the sequence is a geometric sequence given by:
an=ar^(n-1)
where:
an=nth term
a=first term
r=common ration
n=number of term
thus the rule will be:
an=5832(1/3)^(n-1)