Alejandra made the number pattern shown below 4,8,16,32,64 part awrite a rule for the pattern. explain how u know the rule is correct

ANSWER

The rule for the pattern is



EXPLANATION

The terms in the pattern are:

4,8,16,32,64

The first term is



There is a constant ratio of:



The rule for the pattern is given by:



We substitute the values into the general rule to get,



Therefore the rule for the pattern is



Now let us check to see if our rule works by using it to find the 5th term in the pattern.







Great!

The 5th term is actually 64, hence our rule works.

These graph is cross the yaxis and x axis two ways.