13-1

This week we learned a section 1 in chapter 13. 13-1 was all about a list of numbers better known as sequence.

There are two sequences in 13-1:

Arithmetic-a sequence where the same number is added each time

Geometric-a sequence where the same number is multiplied each time

Arithmetic formula
tn=t1+(n-1)d

Examples:
5 7 9 11

is it arithmetic, geometric, or neither?

It is arithmetic because you add 2.
D=2


T1=4 t2=10 t75=?
T75=4(75-1)(6)
T75=448


Geometric formula
tn=t1=r^n-1

Examples:
6 12 24 48
is it arithmetic, geometric, or neither?

Geometric because you multiply 2

R=2

Find t10 if t1=4 t2=12 and the sequence is geometric.
Tn=4*(3) ^10-1
4*3^9=78,732


This section is easy if you know your formulas and stuff and now the sequence stuff section 13-1 shouldn’t be hard at all. Remember some problems in 13-1 would not be geometric and arithmetic because it can be neither. Know all the steps of how to identify and solve both methods. The methods are the arithmetic and geometric sequences.