Bellwork:  Determine whether each of the following is Arithmetic (something was added each time), Geometric ( something was multiplied each time), or.

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Presentation transcript:

Bellwork:  Determine whether each of the following is Arithmetic (something was added each time), Geometric ( something was multiplied each time), or Neither a) -2, -4, -8, -16… b) 10, 0, -10, -20… c) 4, 9, 16, 25…

Last Class- Recap x (term) y x (term) y Arithmetic y=-10x+20 Geometric y=-2(2) x-1

Notation:  d= common difference (what is added to each term of an arithmetic sequence)  r= common ratio (what is multiplied to each term of a geometric sequence)  n= What term number you are looking at (4 th term, 10 th term… n th term) 1 st term2 nd term3 rd term4 th term5 th termnth term a1a1 a2a2 a3a3 a4a4 a5a5 anan

How to find the nth term of an arithmetic sequence First term Common Difference nth term The Formula:

How to find the nth term of an arithmetic sequence EX: -14, -5, 4, 13, … becomes

How to find the nth term of an arithmetic sequence Simplify…

How do we find the 30 th term of an arithmetic sequence? Just plug in 30 for n!

How to find the nth term of a geometric sequence. First term Common Ratio nth term The Formula:

How to find the nth term of a geometric sequence. EX: 4, 20, 100, 500, … becomes

How do we find the 10 th term of an geometric sequence? Just plug in 30 for n!