Arithmetic
Geometric
Random
100
Which chart is Arithmetic?
^
100
How do you get the next term in a geometric sequence?
You MULTIPLY the previous term.
100
What type of sequence is this?
Arithmetic
200
Find the common difference;
1 2 3 4 5 6
1 4 7 11 14 17
d=3
200
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.
200
Find the 4th term in the sequence;
2 3 4 5
-12 96
4th term = -48
300
What is the explicit equation for this graph?
an=1+2(n)
300
Find the common ratio;
1 2 3 4 5
4 12 36 108 324
r=3
300
What does r and d stand for in a equation?
r = ratio
d = difference
400
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.
400
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.
400
Find the next term;
1 2 3 ...
4 6 9 ...
r=1 1/2
4th term = 13.5
500
Write an explicit equation for this sequence;
Hint: It starts on term one
an=1+3(n)
500
What is the common ratio?
r=2
500
Find the 6th term;
1 2 3
400 200 100
6th term = 12.5