5) Find the common ratio and the next term.
512, 128, 32, 8,

The common ratio is

The next term in the sequence is 2

Step-by-step explanation:

In a geometric sequence, the common ratio is the constant value you multiply a term by in order to find the value of the following term. Therefore, it is mathematically calculated as the quotient between a term and the term immediately before it. And it is in fact That is:

common ratio

This quotient should be true for any two consecutive terms in the sequence.

so using the first two terms, we find:

You can test that this common ratio is true for all other terms listed:

So now, in order to find the term that follows, all we need to do is to multiply the last term given (8) by this common ratio:

36 is the final answer! : )