1. Minds On MCR 3U – Unit 6 a)Determine the sum of all the terms in the following sequence: {-2, 3, 8, 13} b)Determine the sum of all the terms in the following sequence: {1, 3, 9, 27………43 046 721 }

2. Lesson 4 – Arithmetic Series MCR 3U – Unit 6 Learning Goals: I can calculate the sum of the terms of an arithmetic sequence

3. MCR 3U – Unit 6 Sequence: An ordered list of terms Series: Sum of the terms in a sequence Examples: Sequence: {1, 3, 9, 27…} Series: {1 + 3 + 9 + 27…} Lesson 7 – Arithmetic Series

4. MCR 3U – Unit 6 Lesson 4 – Arithmetic Series Let’s look at the sum of the sequence of the first 10 natural numbers. S n represents the sum of the first n terms of the sequence: S n = 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 +10 Write the series in reverse order: S n = 10 + 9 + 8 + 7 + 6 + 5 + 4 + 3 + 2 + 1 Add the 2 Series:

5. MCR 3U – Unit 6 Lesson 4 – Arithmetic Series

6. MCR 3U – Unit 6 Lesson 4 – Arithmetic Series

7. MCR 3U – Unit 6 Lesson 4 – Arithmetic Series For the arithmetic series {4 + 7 + 10 +... }, find S 50.

8. MCR 3U – Unit 6 Lesson 4 – Arithmetic Series In an arithmetic series of 20 terms, t 4 = 46 and t 14 = 16. Find S n.

9. MCR 3U – Unit 6 Lesson 4 – Arithmetic Series Calculate the sum of the arithmetic series {4 + 9 +... + 199)

10. MCR 3U – Unit 6 Lesson 4 – Arithmetic Series Practice  Pg. 452 #4, 5df, 6, 7cd, 11, 13