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Transcript
Sequences
MM1A1f Recognize sequences as
functions with domains that are
whole numbers.
MM1A1f Recognize sequences as functions with domains that are whole numbers.
Sequences
Sequence-a function whose domain is a set of
consecutive whole numbers.
Terms-values in the range.
Domain-relative position of each term
input
Range-terms of the sequence
output
MM1A1f Recognize sequences as functions with domains that are whole numbers.
Sequences
Write terms of a sequence.
an = 2n-3
Find the first three terms, the domain and
range.
Domain
a1 = 2(1) -3
a2 = 2(2) -3
a3 = 2(3) -3
Range
-1
1
3
MM1A1f Recognize sequences as functions with domains that are whole numbers.
Sequences
Write rules for sequences.
Describe the pattern, write the next term, and
write the rule for the nth term.
30
2, 6, 12, 20, ____
1(2)=2
2(3)=6
3(4)=12
4(5)=20
So, 5(6)=30
Looks like n(n+1)
MM1A1f Recognize sequences as functions with domains that are whole numbers.
Sequences
Write rules for sequences.
To write a rule, look for the pattern
between each number, subtraction,
addition, or multiplication.
Check the next several terms to see if it
holds true.
Let’s try another one.
MM1A1f Recognize sequences as functions with domains that are whole numbers.
Sequences
Write rules for sequences.
3, 1, -1, -3
3 -2=1
1 -2=-1
-1 -2=-3
n-2 would be the rule.
n is the term that is in the sequence.
MM1A1f Recognize sequences as functions with domains that are whole numbers.
Sequences
Classwork/Homework
Page 188 (1-13)