t(n)
f(x)
SEQUENCE GENERATOR
Arithmetic or Geometric
MATH
100
Typically, when we write t(n) equations, are they linear or exponential?
Exponential
100
When Mrs. Bush asks you to write an f(x) equation, what type of sequence are we describing?
Arithmetic sequence
100
An arithmetic sequence generator takes a 4 and spits out a 12. What is the machine doing?
Adding 8
100
Does this graph represent an arithmetic sequence or a geometric sequence?
Arithmetic sequence
100
63
216
200
What does 'n' represent in a t(n) equation?
The term number
200
If f(x)=3x-13
What would f(0)=?
-13
200
A geometric sequence generator takes a 3 and spits out a 1. What is the machine doing?
Dividing by 3 OR multiplying by 1/3
200
What is the difference between an arithmetic and geometric sequence?
Arithmetic is adding a number between terms (constant/linear) and geometric is multiplying between terms (exponential)
200
1571 xx 6
9426
300
If t(n)=2n
What would t(2)=?
4
300
What type of graph does an f(x) equation usually represent?
Linear
300
An arithmetic sequence generator takes a -9 and spits out a -562. What is the machine doing?
subtracting 553
300
Is the following sequence arithmetic or geometric and what is it going up by?
3,12,21
Arithmetic and adding 9 each time
300
162/9^2
2
400
If t(n)=5n
What would t(3)=?
125
400
What would x equal if 218=2x+18
100
400
A geometric sequence generator takes a 13 and spits out a 3.25. What is the machine doing?
Multiplying by 0.25 or dividing by 4
400
Is the following sequence arithmetic or geometric and what is it going up/down by?
264,132,66
Geometric: Dividing by 2 or multiplying by 0.5
400
sqrt(49) + 19 -27
-1
500
If t(n)=3(3n)
What would t(3)=?
81
500
If f(x)=15x+190
What would f(32)=
670
500
A machine takes a 3 and spits out a -9. If we didn't know if it was an arithmetic machine or a geometric machine, what could be our two answers?
Arithmetic Machine= subtracting 12
Geometric Machine= multiplying by -3
500
Write a t(n) equation where t(0)=3 and the multiplier is 2
t(n)=3(2n)
500
(8(-1) + 8 - 23 + 56)/33
1