Nothing says Merry Christmas like doing your math blogs. The first sentence of this blog is, of course, a lie. I will probably review chapter 13 for this blog.
Chapter 13-1 involved arithmetic and geometric sequences. In an arithmetic sequence, you add or subtract in order to get to the next number. In a geometric sequence you multiply or divide to get the next number.
Ex. Is the following sequnce arithmetic, geometric, or neither.
1.) 2,4,8,16,..........Geometric because you are multiplying by 2.
2.) 15,20,25,30,.......Arithmetic because you are adding by 5.
3.) 3,7,12,18,......Neither because their is not common difference.
You will need to know these formulas in order to get the next number in the sequence.
Arithmetic- tn=t1(n-1)d
Geometric- tn=t1 x r^n-1
Find the first four terms for tn=15n+7
t1=15(1)+7=22
t2=15(2)+7=37
t3=15(3)+7=52
t4=15(4)+7=67
That's all for this blog. I hope that someone learned a thing or two about chapter 13. Happy New Year (2011)!
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