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Day 9 - Arithmetic Sequences Notes.notebook · 2019-03-17 · Day 9 Arithmetic Sequences...

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Day 9 Arithmetic Sequences Notes.notebook 1 January 24, 2018 Warm-Up 1/24/18
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Page 1: Day 9 - Arithmetic Sequences Notes.notebook · 2019-03-17 · Day 9 Arithmetic Sequences Notes.notebook 4 January 24, 2018 Notes (INB) A sequence is an ordered list of numbers that

Day 9 ­ Arithmetic Sequences Notes.notebook

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January 24, 2018

Warm-Up 1/24/18

Page 2: Day 9 - Arithmetic Sequences Notes.notebook · 2019-03-17 · Day 9 Arithmetic Sequences Notes.notebook 4 January 24, 2018 Notes (INB) A sequence is an ordered list of numbers that

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Page 3: Day 9 - Arithmetic Sequences Notes.notebook · 2019-03-17 · Day 9 Arithmetic Sequences Notes.notebook 4 January 24, 2018 Notes (INB) A sequence is an ordered list of numbers that

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Standards: 1/24/18MGSE9-12.F.BF.1a Determine an explicit expression and the recursive process (steps for calculation) from context.

MGSE9-12.F.BF.2 Write arithmetic sequences recursively and explicitly, use them to model situations, and translate between the two forms. Connect arithmetic sequences to linear functions.

Page 4: Day 9 - Arithmetic Sequences Notes.notebook · 2019-03-17 · Day 9 Arithmetic Sequences Notes.notebook 4 January 24, 2018 Notes (INB) A sequence is an ordered list of numbers that

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Notes (INB)A sequence is an ordered list of numbers that has a constant difference between each term.• To find the nth term in a

number series, use an = a1 + (n-1)d (explicit)

nth term 1st term # of terms common difference

Page 5: Day 9 - Arithmetic Sequences Notes.notebook · 2019-03-17 · Day 9 Arithmetic Sequences Notes.notebook 4 January 24, 2018 Notes (INB) A sequence is an ordered list of numbers that

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Example: 11, 8, 5, 2, ....

what would be the 21st term in this sequence?

Page 6: Day 9 - Arithmetic Sequences Notes.notebook · 2019-03-17 · Day 9 Arithmetic Sequences Notes.notebook 4 January 24, 2018 Notes (INB) A sequence is an ordered list of numbers that

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Recursive Definition is a formula for the next term, depending on the previous term.

an = an-1 + d

previous term common difference

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Guided Practice/Class Work 1/24/18

Page 8: Day 9 - Arithmetic Sequences Notes.notebook · 2019-03-17 · Day 9 Arithmetic Sequences Notes.notebook 4 January 24, 2018 Notes (INB) A sequence is an ordered list of numbers that

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Page 9: Day 9 - Arithmetic Sequences Notes.notebook · 2019-03-17 · Day 9 Arithmetic Sequences Notes.notebook 4 January 24, 2018 Notes (INB) A sequence is an ordered list of numbers that

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Page 10: Day 9 - Arithmetic Sequences Notes.notebook · 2019-03-17 · Day 9 Arithmetic Sequences Notes.notebook 4 January 24, 2018 Notes (INB) A sequence is an ordered list of numbers that

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Page 11: Day 9 - Arithmetic Sequences Notes.notebook · 2019-03-17 · Day 9 Arithmetic Sequences Notes.notebook 4 January 24, 2018 Notes (INB) A sequence is an ordered list of numbers that

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Page 12: Day 9 - Arithmetic Sequences Notes.notebook · 2019-03-17 · Day 9 Arithmetic Sequences Notes.notebook 4 January 24, 2018 Notes (INB) A sequence is an ordered list of numbers that

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Page 13: Day 9 - Arithmetic Sequences Notes.notebook · 2019-03-17 · Day 9 Arithmetic Sequences Notes.notebook 4 January 24, 2018 Notes (INB) A sequence is an ordered list of numbers that

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Page 14: Day 9 - Arithmetic Sequences Notes.notebook · 2019-03-17 · Day 9 Arithmetic Sequences Notes.notebook 4 January 24, 2018 Notes (INB) A sequence is an ordered list of numbers that

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Page 15: Day 9 - Arithmetic Sequences Notes.notebook · 2019-03-17 · Day 9 Arithmetic Sequences Notes.notebook 4 January 24, 2018 Notes (INB) A sequence is an ordered list of numbers that

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Class Work 1/24/18

Page 16: Day 9 - Arithmetic Sequences Notes.notebook · 2019-03-17 · Day 9 Arithmetic Sequences Notes.notebook 4 January 24, 2018 Notes (INB) A sequence is an ordered list of numbers that

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Page 17: Day 9 - Arithmetic Sequences Notes.notebook · 2019-03-17 · Day 9 Arithmetic Sequences Notes.notebook 4 January 24, 2018 Notes (INB) A sequence is an ordered list of numbers that

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10. Camden is collecting bugs for science class. The first day his sister helps him, and he finds 35 bugs. After day 2, he has 52 bugs. On day 3, he has 69 bugs. How many bugs will he have on the 15th day?

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Page 19: Day 9 - Arithmetic Sequences Notes.notebook · 2019-03-17 · Day 9 Arithmetic Sequences Notes.notebook 4 January 24, 2018 Notes (INB) A sequence is an ordered list of numbers that

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Page 20: Day 9 - Arithmetic Sequences Notes.notebook · 2019-03-17 · Day 9 Arithmetic Sequences Notes.notebook 4 January 24, 2018 Notes (INB) A sequence is an ordered list of numbers that

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Student-Led Closing 1/24/18

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