Chap 9 - sequence, Venn Diagrams

Question 1

define recursive sequence

Answer 1

have to know previous term to get next term

Question 2

define geometric sequence

Answer 2

x btw terms (by whole no.s and fractions for /)

Question 3

define arithmetic sequence

Answer 3

+/- btw terms

Question 4

define Fibonacci sqeuence

Answer 4

+ pervious 2 terms to get next term

Question 5

formula for arithmetic sequence

Answer 5

a n = a1 + (n-1 )d
a n = nth term
a1 = first term
d = diff btw terms

Question 6

formula for geometric sequence

Answer 6

a n = a1 x r^n-1
a n = nth term
a1 = first term
r = ratio

Question 7

note: if only 2 terms given and ask for sequence type- say “not enough info”

Question 8

define rational

Answer 8

no. can be changed into a fraction

Question 9

define irrational

Answer 9

no. cannot be changed into a fraction

Question 10

note: cant have a ( - ) square root

Question 11

how to write a pattern of reoccurring deciamls

Answer 11

–
x
- write a dash over the no.

Question 12

how to change reoccurring decimals to fractions

Answer 12

-put over 9’s depending on the no. of reoccurring digits
-eg. if 0.27 with dash, 27/99

Question 13

how to change reoccurring decimals without a reoccurring one in front to fractions

Answer 13

-make an equations
-times both sides by how many places needed to put . in front of reoccurring digit
-minus litter side by one and no. side by the og no.
-get the letter by itself
eg. 0.683 with dash = x
100x = 68.3 with dash
99x = 68.3 - 0.683
x = 67.65/ 99
x = 41/ 60

Question 14

note: no decimals in fractions

Question 15

need outside of circle?

Answer 15

a box

Question 16

Universal set symbol? represent?

Answer 16

• ξ (xi)
  -everything in box
  -outside box

Question 17

Intersection set symbol? represent?

Answer 17

• ∩
  -all that are same btw sets

Question 18

Union set symbol? represent?

Answer 18

• ∪
  -all the things in sets

Question 19

Complement set symbol? represent?

Answer 19

• ’
• not of something

Question 20

Element set symbol? represent?

Answer 20

• ∈
  -thing of set

Question 21

Not element set symbol? represent?

Answer 21

• ∉
  -not thing of set

Question 22

Subset set symbol? represent?

Answer 22

• ⊂
  -whole set is part of set

Question 23

Not subset set symbol? represent?

Answer 23

• ⊄
  -whole set is not part of set

Question 24

Empty set symbol? represent?

Answer 24

• ∅
  -empty

Question 25

note: for intersection - 1 line cross
for union - 2 or more line cross

Question 26

what are sets listed in?

Answer 26

{ }

Question 27

How to find no. in set

Answer 27

make a equation with total

Question 28

how to do set builder notation?

Answer 28

• ” (set letter) = {x: x ____} “
• x = all values in set
• : = such that
• ______ = add the rule

Question 29

note: be careful of the word only