Alicia's Final Reflection :)

Okay so the senior's final exam is tuesday... chapters 1-6 and 13!!! I am going to review some stuff from a few of these chapters:

Exponents:

* b^x * b^y = b^x + y

*  b^x/b^y = b^x - y

* (ab)^x = a^xb^x

* (a/b)^x = a^x/b^x

*  (b^x)^y = b^xy

*  b^x/y = y^√b^x

Changing Bases:

* Rewrite it as an exponential

* Take the log of both sides
* Move the variable to the front
* solve

Ch. 13

* Arithmetic- tn*t1+(n-1)d

n=term # t1=first term d=what you add

* Geometric- tn=t1*r^(n-1)

r= what you multiply by  t1= first term

Examples:

1. Find the formula for the nth term of the arithmetic sequence: 3,5,7,...

tn = 3 + (n-1) (2)

tn = 3 +2n - 2

tn = 1 + 2

2. Find the formula for the nth term of the sequence: 3,4.5,6.75,..

* Don't forget to divide the 2nd term by the 1st term to find r

4.5/3 = 3/2 = r

tn = 3 (3/2)^(n-1)