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Slide 1
5 Minute Check
Slide 2
Find if d = 8, e = 3, f = 4 and g = -1. Complete in your notes.
1. 10 - e
Slide 3
5 Minute Check Find if d = 8, e = 3, f = 4 and g = -1. Complete
in your notes. 1. 10 - e 10 3 7
Slide 4
5 Minute Check
Slide 5
Slide 6
Find if d = 8, e = 3, f = 4 and g = -1. Complete in your notes.
3. 4e
Slide 7
5 Minute Check Find if d = 8, e = 3, f = 4 and g = -1. Complete
in your notes. 3. 4e 4(3) 4 9 36
Slide 8
5 Minute Check Find if d = 8, e = 3, f = 4 and g = -1. Complete
in your notes. 4. 8g - f
Slide 9
5 Minute Check Find if d = 8, e = 3, f = 4 and g = -1. Complete
in your notes. 4. 8g - f 8 (-1) 4 - 8 4 -12
Slide 10
Monday, May 11 Lesson 7.5.2 Sequences
Slide 11
Objective: To describe the relationships and extend terms in
arithmetic sequences.
Slide 12
Sequences A sequence is an ordered list of numbers.
Slide 13
Sequences A sequence is an ordered list of numbers. Each number
in a sequence is a called a term.
Slide 14
Sequences A sequence is an ordered list of numbers. Each number
in a sequence is a called a term. In an arithmetic sequence, each
term is found by adding the same number to the previous term.
Slide 15
Sequences Describe the relationship between the terms in the
arithmetic sequence 8, 13, 18, 23, .. Then write the next three
terms.
Slide 16
Sequences Describe the relationship between the terms in the
arithmetic sequence 8, 13, 18, 23, .. Then write the next three
terms. 8, 13, 18, 23,. +5 +5 +5 Each term is found by adding 5 to
the previous term. The next three terms are 28, 33, 38
Slide 17
Sequences Describe the relationship between the terms in the
arithmetic sequence 0.4, 0.6, 0.8, 1.0, .. Then write the next
three terms.
Slide 18
Sequences Describe the relationship between the terms in the
arithmetic sequence 0.4, 0.6, 0.8, 1.0, .. Then write the next
three terms. 0.4, 0.6, 0.8, 1.0, . +.2 +.2 +.2 Each term is found
by adding 0.2 to the previous term. The next three terms are 1.2,
1.4 1.6
Slide 19
Sequences Describe the relationship between the terms in the
arithmetic sequence 0, 13, 26, 39, .. Then write the next three
terms.
Slide 20
Sequences Describe the relationship between the terms in the
arithmetic sequence 0, 13, 26, 39, .. Then write the next three
terms. 1, 13, 26, 39, . +13 +13 +13 Each term is found by adding 13
to the previous term. The next three terms are 52, 65, 78
Slide 21
Sequences Describe the relationship between the terms in the
arithmetic sequence 1.0, 1.3, 1.6, 1.9, .. Then write the next
three terms.
Slide 22
Sequences Describe the relationship between the terms in the
arithmetic sequence 1.0, 1.3, 1.6, 1.9, .. Then write the next
three terms. 1.0, 1.3, 1.6, 1.9, . +.3 +.3 +.3 Each term is found
by adding 0.3 to the previous term. The next three terms are 2.2,
2.5, 2.8
Slide 23
Sequences Describe the relationship between the terms in the
arithmetic sequence 52, 49, 46, 43, .. Then write the next three
terms.
Slide 24
Sequences Describe the relationship between the terms in the
arithmetic sequence 52, 49, 46, 43, .. Then write the next three
terms. 52, 49, 46, 43, . -3 -3 -3 Each term is found by adding -3
to the previous term. The next three terms are 40, 37, 34
Slide 25
Sequences Describe the relationship between the terms in the
arithmetic sequence 1,10,19,28, .. Then write the next three
terms.
Slide 26
Sequences Describe the relationship between the terms in the
arithmetic sequence 1,10,19,28, .. Then write the next three terms.
1,10,19,28, . +9 +9 +9 Each term is found by adding 9 to the
previous term. The next three terms are 37, 46, 55
Slide 27
Sequences Describe the relationship between the terms in the
arithmetic sequence -45, -39, -33, .. Then write the next three
terms.
Slide 28
Sequences Describe the relationship between the terms in the
arithmetic sequence -45, -39, -33, .. Then write the next three
terms. -45, -39, -33,, . +6 +6 Each term is found by adding 6 to
the previous term. The next three terms are -27, -21, -15
Slide 29
Sequences
Slide 30
Slide 31
In a sequence, each term has a specific position within the
sequence. Consider the sequence 2, 4, 6, 8, ..
Slide 32
Sequences Notice that as the position number increases by 1,
the value of the term increases by 2.
Slide 33
Sequences You can also write an algebraic expression to
represent the relationship between any term in a sequence an its
position in the sequence. What is the expression for this
sequence?
Slide 34
Sequences You can also write an algebraic expression to
represent the relationship between any term in a sequence an its
position in the sequence. What is the expression for this sequence?
2n
Slide 35
Sequences The greeting cards that Meredith makes are sold in
boxes at a gift store. The first week, the store sold 5 boxes. Each
week the store sells five more boxes. The pattern continues. What
is the algebraic expression to represent this situation? How many
boxes will be sold at the end of the 100 th week?
Slide 36
Sequences The greeting cards that Meredith makes are sold in
boxes at a gift store. The first week, the store sold 5 boxes. Each
week the store sells five more boxes. The pattern continues. What
is the algebraic expression to represent this situation? How many
boxes will be sold at the end of the 100 th week? 5n After the 100
th week; 5 100 = 500 boxes
Slide 37
Sequences If the pattern continues, what algebraic expression
can be used to represent the situation? How many circles will be in
the 50 th figure?
Slide 38
Sequences If the pattern continues, what algebraic expression
can be used to represent the situation? How many circles will be in
the 50 th figure? 3n In the 50 th figure; 3 50 = 150
Slide 39
Sequences If the pattern continues, what algebraic expression
can be used to represent the situation? How many circles will be in
the 50 th figure?
Slide 40
Sequences If the pattern continues, what algebraic expression
can be used to represent the situation? How many circles will be in
the 50 th figure? 2n + 1 In the 50 th figure; 2 50 + 1 = 101
Slide 41
Sequences What is the 10 th term for the sequence below. 6, 12,
18, 24,
Slide 42
Sequences What is the 10 th term for the sequence below. Term 1
2 3 4 6, 12, 18, 24, 6n; when n = 10 60
Slide 43
Sequences What is the 20 th term for the sequence below. 14,
28, 42, 56,
Slide 44
Sequences What is the 20 th term for the sequence below. Term 1
2 3 4 14, 28, 42, 56, 14n; when n = 20 280
Slide 45
Sequences Hannah has a doll collection. The table shows the
number of dolls she bought the first three years. Suppose the
pattern continues, what algebraic expression can be used to
represent the situation? How many dolls will collect during the 25
th year?
Slide 46
Sequences Hannah has a doll collection. The table shows the
number of dolls she bought the first three years. Suppose the
pattern continues, what algebraic expression can be used to
represent the situation? How many dolls will collect during the 25
th year? 6n In the 25 h year; 6 25 = 150
Slide 47
Sequences Write an algebraic expression to represent the
graph.
Slide 48
Sequences Write an algebraic expression to represent the graph.
3n
Slide 49
Sequences Write an algebraic expression to represent the
graph.
Slide 50
Sequences Write an algebraic expression to represent the graph.
x + 1 Or as an equation y = x + 1
Slide 51
Sequences Write an algebraic expression to represent the
graph.
Slide 52
Sequences Write an algebraic expression to represent the graph.
x + 5
Slide 53
Sequences Write an algebraic expression to represent the
graph.
Slide 54
Sequences
Slide 55
Write an algebraic expression to represent the graph.
Slide 56
Sequences Write an algebraic expression to represent the graph.
3x - 1
Slide 57
Sequences Agenda Notes No Homework Homework Practice 7.5.2 Due
by the end of the period Circle all answers and show all work
Chapter 7.5 Quiz Friday, May 15