2A Geometric Sequeces

Shareesa Bollers

Geometric sequences are recursive
Always True
4, 16, 64, 256, 1024

When given the graph of a geometric sequence, which contains two points, you should be able to determine the initial value and the multiplier.
Always True
5, 25, 125, 625





Charles Williams John Derry
Geometric Sequences when graphed are always discrete. What discrete means is that the graph will be infinite. A geometric sequence is when the sequence of numbers is continuous multiplied by a fixed number. What this represents is no matter how big the number is it can always be multiplied by the fixed number. Since in geometric sequences the sequence will always continue to go on so will the graph that represents the sequence is infinite.

For Example:
Sequence A: 1 , 2 , 4 , 8 , 16
\/ \/ \/ \/

*2 *2 *2 *2

Picture_1.png
The reason that geometric sequence only sometimes need two terms is because in our example above. That is a geometric sequence but it only term is the multiplication of the 2. After two there is no more terms needed to continue the sequence and it never change because the multiplication is fixed in the sequence.


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Sophia Moreno

9. Geometric sequences are recursive.
o Always True

A geometric sequence is like an arithmetic sequence, but instead of adding or subtracting, the rule is to multiply or divide.

A GEOMETRIC SEQUENCE is a sequence with a multiplication (or division) generator. (Check pg. 51)

1, 2, 4, 8
x2 x2 x2

10. At least two terms are needed in order to write a formula for a geometric sequence.
o Sometimes True

I think it would depend on if you knew it was a geometric sequence or not. Suppose the sequence was ‘12, 6, __,’ you could say that the rule is -6, or x/2.

11. The graphs of a geometric sequence are discrete.
o Always True

?

12. When given an algebraic formula for a geometric sequence, you should be able to determine the initial value and the common ratio of the sequence.
o Always True

Y = mx(ix)

Y = y coordinate
X = x coordinate (place of number in sequence)
i = initial value
m = multiplier/common ratio


Example: rule = *3
X 0 1 2 3
Y 2 6 18 54


13. When given the graph of a geometric sequence, which contains two points, you should be able to determine the initial value and the multiplier.
o Always True

The initial value will be the y-intercept and the multiplier can be found with the staircases.


Kimberly Bush

9: Always True
-The pattern is continuously using multiplication

10: Sometimes True
-Look at problem 2

11: Always True
-The graph of a geometric sequence is a parabola
-Therefore, it's discrete from arithmetic sequences

12: Always True
Ex. 1,2,4,8

13: Sometimes True
Ex. 2,4

Ex. a: 2^2=4
Ex. b: 2x2

The outcome can be different

Eddie Abbott

The graphs of a geometric sequences are discrete-
always true

When given the graph of a geometric sequence,which contains two points, you should be able to determine the initial value and the multiplier.-
always true

At least two terms are needed in order to write a formula for a geometric sequence-
sometimes true

Geometric sequences are recursive-
always true














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