Sunday, November 14, 2010

Chapter 13-1 was all about sequences-a list of numbers. There are 2 types of sequences: arithmetic and geometric.

ARITHMETIC:
a sequence where the same number is added each time.

FORMULA:
tn=t1+(n-1)d

EXAMPLES:
8, 10, 12, 14, 16
is it arithmetic, geometric, or neither?
its ARITHMETIC since 2 is being added each time.
d=2.
NOW FIND THE NTH TERM:
tn=8+(n-1)2
tn=8+2n-2
tn=2n+6.

GEOMETRIC:
a sequence where the same number is multiplied each time.

FORMULA:
tn=t1=r^n-1

EXAMPLES:
4, 8, 16, 32
is it arithmetic, geometric, or neither?
its GEOMETRIC because you can obviously tell that 2 is being multiplied.
so r=2.

I was at school thursday so I was able to learn this with you and it's actually really easy.

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