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1310 Teaching Elementary Math: Test 1
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Terms in this set (69)
A sequence that begins with a1 the next term is found by adding the common difference
arithmetic sequence
what is the general/recursive formula of an arithmetic sequence
an=a1 + (n-1)d
a sequence that begins with a1 the next term is found by multiplying the common ratio
geometric sequence
the collection of well defined distinct objects, this is also defined by capital letters
set
if a and b are 2 sets and every element of a is also an element of set b then a is a ______ of b. this is also represented by A⊆B
subset
A⊆B means that
A is a subset of B. set A is included in set B.
if a and b are 2 sets then a is a ____ of b if A⊆B but a ≠ b. this is also represented by A⊂B
proper subset
A⊂B means that
A is a subset of B, but A is not equal to B.
A⊄B means that
set a is not a subset of set b
what is the subset formula
2^n
what is the proper subset formula
2^n-1
you can pair each element in the first set with exactly one element in the second set but to do this there has to be an equivalent set
one to one correspondences
what is the one to one correspondences formula
n!
if a and b are whole numbers then a+b=b+a
commutative property of addition
if a,b,c are whole numbers then (a+b)+c=a+(b+c)
associative property of addition
if a is a whole number than a+0=a
identity property of addition
if a and b are whole numbers, then a+b is a whole number
closure property of whole number addition
4+0=4
identity
(4+m)+3=4+(M+3)
associative
0+7=7+0
commutative
(3+5)+6=(5+3)+6
commutative
is the set {2,4,6,8,....} closed with respect to addition
yes
is the set {8} closed with respect to addition
no
is the set {1,3,5,7,....} closed with respect to addition
no
is the set {0,1} closed with respect to addition
no
is the set {0,1,2,3,4,.....} closed with respect to addition
yes
a°b=b°a
commutative property of multiplication
(a°b)°c=a°(b°c)
associative property of multiplication
a°1=a
identity property of multiplication
a(b+c)=ab+ac
distributive property
a(b-c)=ab-ac
distributive property
a°0=0
multiplication property of zero
4+3=3+4
commutative
5(x+2)=5°x+5°2
distributative
a°m=m°a
commutative
5+0=5
identity
5°0=0
multiplication of zero
7°1=7
identity
7+(3+2)=(7+3)+2
associative
is the set {0,1} closed with respect to multiplication
yes
is the set {1,2,3,4,5,....} closed with respect to multiplication
yes
is the set {1,3,5,7,....} closed with respect to multiplication
yes
is the set {1,2,3} closed with respect to multiplication
no
a^m°a^n=
a^m+n
(a^m)^n=
a^mn
a^m/a^n=
a^m-n
a^0=
1
a^n°b^n
(ab)^n
2^3°2^5=
2^8
x^4°x=
x^5
(x^2 y)(x^4 y^3)=
x^6 y^4
(x^2)^4=
x^8
(2x^2)^3=
8x^6
7^0=
1
12^3/12^2=
12
x^7/x^2=
x^5
2^3 ° 4^3=
8^3
(xym)^0=
1
set of all elements
universal set
AuB
union
union means
joins them together
A∩B
intersection
intersection means
what they have in common
A', ~A, _A
complement
complement means
everything that is not in that set
A-B or B-A
take away
take away means
everything in the universal set but does not appear in set ____
A-B means
elements of A that are not in B
B-A means
elements of B that are not in A
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