Nathan's Blog

This is Nathan with the blog for the weekend.

The concept that I felt most comfortable with is section 13-1. This is probably the easiest section since chapter seven.This section deals with sequences, which is a list of numbers. The two answers that you can have is either arithmetic, or geometric. Arithmetic is when you add the same number to every term. Geometric is when you multiply the same number for every term.

Ex. 4,8,12,16- Arithmetic

9,27/2,81/4...- Geometric

These are examples of when you have to find the first four terms of each sequence. All you have to do is, plug 1,2,3,and 4 into each formula for n, and then determine if the answers give an arithmetic or geometric sequence.

tn=2n+3
t1=2*1+3=5
t2=2*2+3=7
t3=2*3+3=9
t4=2*4+3=11
This would be arithmetic because you are adding 2 to each term.
tn=3*2^n
t1=3*2^1=6
t2=3*2^1=12
t3=3*2^3=24
t4=3*2^4=48
This would be geometric because you are multiplying 2 to each equation.

That's it. Like I said, this is one of the easiest sections, but it's probably going to get tougher, like every other chapter in that book.