Which chart is Arithmetic?
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How do you get the next term in a geometric sequence?
You MULTIPLY the previous term.
What type of sequence is this?
Arithmetic
Find the common difference;
1 2 3 4 5 6
1 4 7 11 14 17
Whats the difference between an arithmetic graph and a geometric graph?
Arithmetic graphs are on a line (they go up the same amount each time) while Geometric graphs are curved.
Find the 4th term in the sequence;
2 3 4 5
-12 96
4th term = -48
What is the explicit equation for this graph?
an=1+2(n)
Find the common ratio;
1 2 3 4 5
4 12 36 108 324
r=3
What does r and d stand for in a equation?
r = ratio
d = difference
True or False?
The common ratio of this equation is 2.
an=1+2(n-1)
FALSE
Arithmetic sequences have a common difference, not a common ratio.
Why doesn't the line ever go below 0?
The number keeps getting smaller, because it is being divided and becoming smaller, but the number never actually runs out.
Find the next term;
1 2 3 ...
4 6 9 ...
r=1 1/2
4th term = 13.5
Write an explicit equation for this sequence;
Hint: It starts on term one
an=1+3(n)
What is the common ratio?
r=2
Find the 6th term;
1 2 3
400 200 100
6th term = 12.5