Sunday, November 14, 2010

To be honest I wish i knew what was going on in class. Therefore, im not really sure what to blog about. I would love to explain something we learned that i know best, but it just doesn't make any sense to me. So, in that case i will just explain 13-1 the best i can.

In Chapter 13 it is all about sequences. A sequence is simply a list of numbers (ex 4,8,12) There are two types of sequences:
Arithmetic: a sequence where the same number is added each time
Geometric: a sequence where the same number is multiplied each time
The formula for each are:
Arithmetic--> tn+t1+(n-1)d
Geometric-->tn=t1-r^n-1
To help you out "d" is the sequence, for example d of 4,6,8,10... is 2 because you add 2 each time. "n" is the last number given, for example 4,10...75 n would be 75. "r" is the ratio, for example ratio of (4,12) would be 3 because you are multiplying by 3.

Examples:
1. Find the indicated term--- t1=4 t2=10 t75=? If it is an arithmetic term
All to do is find d and plug into formula.
t75=4+(75-1)6
t75=448

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

There are many different problems to work with sequences, but that is mostly what you do.

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