3 Arithmetic Series notes 2014.notebook · 3 Arithmetic Series notes 2014.notebook 3 December 16,...

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3 Arithmetic Series notes 2014.notebook 1 December 16, 2015

Transcript of 3 Arithmetic Series notes 2014.notebook · 3 Arithmetic Series notes 2014.notebook 3 December 16,...

Page 1: 3 Arithmetic Series notes 2014.notebook · 3 Arithmetic Series notes 2014.notebook 3 December 16, 2015 Let’s figure out the formula to find the sum of a finite series. 2 + 4 + 6

3 Arithmetic Series notes 2014.notebook

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December 16, 2015

Page 2: 3 Arithmetic Series notes 2014.notebook · 3 Arithmetic Series notes 2014.notebook 3 December 16, 2015 Let’s figure out the formula to find the sum of a finite series. 2 + 4 + 6

3 Arithmetic Series notes 2014.notebook

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December 16, 2015

Arithmetic Series

Page 3: 3 Arithmetic Series notes 2014.notebook · 3 Arithmetic Series notes 2014.notebook 3 December 16, 2015 Let’s figure out the formula to find the sum of a finite series. 2 + 4 + 6

3 Arithmetic Series notes 2014.notebook

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December 16, 2015

Let’s figure out the formula to find the sum of a finite series.

2 + 4 + 6 + 8

2 + 4 + 6 + 8 + 10 + 12

2 + 6 + 10 + 14 +18 +22 + 26 + 30

Page 4: 3 Arithmetic Series notes 2014.notebook · 3 Arithmetic Series notes 2014.notebook 3 December 16, 2015 Let’s figure out the formula to find the sum of a finite series. 2 + 4 + 6

3 Arithmetic Series notes 2014.notebook

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December 16, 2015

Sum of Arithmetic Sequence

n

Page 5: 3 Arithmetic Series notes 2014.notebook · 3 Arithmetic Series notes 2014.notebook 3 December 16, 2015 Let’s figure out the formula to find the sum of a finite series. 2 + 4 + 6

3 Arithmetic Series notes 2014.notebook

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December 16, 2015

Find the sum of the sequence 5, 8, 11, 14, 17, 20.

Page 6: 3 Arithmetic Series notes 2014.notebook · 3 Arithmetic Series notes 2014.notebook 3 December 16, 2015 Let’s figure out the formula to find the sum of a finite series. 2 + 4 + 6

3 Arithmetic Series notes 2014.notebook

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December 16, 2015

Find the sum of the first seven terms of 4, 10, 16, …

Page 7: 3 Arithmetic Series notes 2014.notebook · 3 Arithmetic Series notes 2014.notebook 3 December 16, 2015 Let’s figure out the formula to find the sum of a finite series. 2 + 4 + 6

3 Arithmetic Series notes 2014.notebook

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December 16, 2015

Find the S10 of 6, 18, 30, …

Page 8: 3 Arithmetic Series notes 2014.notebook · 3 Arithmetic Series notes 2014.notebook 3 December 16, 2015 Let’s figure out the formula to find the sum of a finite series. 2 + 4 + 6

3 Arithmetic Series notes 2014.notebook

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December 16, 2015

Find the sum of 3 + 8 + 13 + 18 +… + 83.

Page 9: 3 Arithmetic Series notes 2014.notebook · 3 Arithmetic Series notes 2014.notebook 3 December 16, 2015 Let’s figure out the formula to find the sum of a finite series. 2 + 4 + 6

3 Arithmetic Series notes 2014.notebook

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December 16, 2015

Find the sum of 18 + 25 + 32 + 39 + … + 116.

Page 10: 3 Arithmetic Series notes 2014.notebook · 3 Arithmetic Series notes 2014.notebook 3 December 16, 2015 Let’s figure out the formula to find the sum of a finite series. 2 + 4 + 6

3 Arithmetic Series notes 2014.notebook

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December 16, 2015

Find the sum of the first 30 multiples of 3.

Page 11: 3 Arithmetic Series notes 2014.notebook · 3 Arithmetic Series notes 2014.notebook 3 December 16, 2015 Let’s figure out the formula to find the sum of a finite series. 2 + 4 + 6

3 Arithmetic Series notes 2014.notebook

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December 16, 2015

Find the sum of the multiples of 6 from 24 to 120 inclusive.

Page 12: 3 Arithmetic Series notes 2014.notebook · 3 Arithmetic Series notes 2014.notebook 3 December 16, 2015 Let’s figure out the formula to find the sum of a finite series. 2 + 4 + 6

3 Arithmetic Series notes 2014.notebook

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December 16, 2015

Evaluate:

Page 13: 3 Arithmetic Series notes 2014.notebook · 3 Arithmetic Series notes 2014.notebook 3 December 16, 2015 Let’s figure out the formula to find the sum of a finite series. 2 + 4 + 6

3 Arithmetic Series notes 2014.notebook

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December 16, 2015

Evaluate:

Page 14: 3 Arithmetic Series notes 2014.notebook · 3 Arithmetic Series notes 2014.notebook 3 December 16, 2015 Let’s figure out the formula to find the sum of a finite series. 2 + 4 + 6

3 Arithmetic Series notes 2014.notebook

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December 16, 2015

Find the sum of the sequence 22, 18, 14, 10, 6, 2, ­2, ­6.

Page 15: 3 Arithmetic Series notes 2014.notebook · 3 Arithmetic Series notes 2014.notebook 3 December 16, 2015 Let’s figure out the formula to find the sum of a finite series. 2 + 4 + 6

3 Arithmetic Series notes 2014.notebook

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December 16, 2015

Find the sum of the first 14 terms of 34, 30, 26, …

Page 16: 3 Arithmetic Series notes 2014.notebook · 3 Arithmetic Series notes 2014.notebook 3 December 16, 2015 Let’s figure out the formula to find the sum of a finite series. 2 + 4 + 6

3 Arithmetic Series notes 2014.notebook

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December 16, 2015

Find the sum of the first 12 terms of 6, 13, 20, …

Page 17: 3 Arithmetic Series notes 2014.notebook · 3 Arithmetic Series notes 2014.notebook 3 December 16, 2015 Let’s figure out the formula to find the sum of a finite series. 2 + 4 + 6

3 Arithmetic Series notes 2014.notebook

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December 16, 2015

Find the sum of the first 25 natural numbers.

Page 18: 3 Arithmetic Series notes 2014.notebook · 3 Arithmetic Series notes 2014.notebook 3 December 16, 2015 Let’s figure out the formula to find the sum of a finite series. 2 + 4 + 6

3 Arithmetic Series notes 2014.notebook

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December 16, 2015

Homework

Page 19: 3 Arithmetic Series notes 2014.notebook · 3 Arithmetic Series notes 2014.notebook 3 December 16, 2015 Let’s figure out the formula to find the sum of a finite series. 2 + 4 + 6

3 Arithmetic Series notes 2014.notebook

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December 16, 2015