Week 10 in Precalc 11

This week in precalculus 11 I worked on remembering how to find the common difference of an arithmetic pattern and the common ration of a geometric pattern.

A common difference is what the Arithmetic pattern goes up or down by. An arithmetic sequence goes up by the same amount each time.

You can subtract two consecutive terms and can find the common difference.

For example:

For geometric sequence each term is multiplied by a constant known as the common ration. The common ration can be found by dividing a term by the previous term. For example:

Generally:

i also worked on figuring out if an equation diverges or converges.

If an equation diverges it means there is no sum. It is either greater than one or less than negative one= r>1 & r<-1

 

if an equation converges it has a sum. The solution falls between 0 and 1 and -1 and 0.

0<r<1

-1<r<0

if an equation converges it will be a fraction.