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:

b) 1/3 * 1/5

step-by-step explanation:

each smallest part is 1/15 since the written one is 1/5 and it's divided by 3 equal parts. (1/5 )/3 = 1/15 = 1/3 * 1/5

step-by-step explanation:

consider an orange peel: if you want to try and lay it flat, you have to stretch it, we know exactly how things are being stretched or squashed at any given point. we have many different map projections because each has different patterns of some projections can even preserve certain features of the earth without