Dustin's Reflection

Last week we started chapter 13. This is the easiest chapter we've covered all year. Chapter 11 wasn't that bad either. I had some problems remembering how to convert from polar to rectangular and vice versa, but other than that it was easy. Here's and explanation of chapter 13.

There are two types of sequences:

Arithmetic (Addition or Subtraction)

Geometric (Multiplication)

There are formulas to find certain terms or how many terms are in the sequence.

Ex. The sequence is 1,3,5,7,9,...

Find the 25th term.

1. First off you find the pattern. In this case we add by 2 each time.
2. Now we find the info we need for the formula.

t1-first term in sequence

tn-the answer

n-numer in the sequence we want to find ( in this case 25)

d-what we add or subtract by

Next we plug into the formula which is: tn=t1+(n-1)d

tn=1+(25-1)2

tn=1+(24)2

tn=1+48

tn=49

Therefore 49 is the 25th term in the sequence.