C1 Chapter 6 Arithmetic Series Dr J Frost
Description: C1 Chapter 6 Arithmetic Series Dr J Frost (jfrosttiffin.kingston.sch.uk) Last modified: 7th October 2013 2, 5, 8, 11, 14, 3 3 3 This is a: Arithmetic Series ? Geometric Series ? 3, 6, 12, 24, 48, ? ? 1, 1, 2, 3, 5, 8, This is the
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slide1. C1 Chapter 6 Arithmetic Series Dr J Frost (jfrost@tiffin.kingston.sch.uk) Last modified: 7th October 2013<br>
slide2. 2, 5, 8, 11, 14, … +3 +3 +3 This is a: Arithmetic Series ? Geometric Series ? 3, 6, 12, 24, 48, … ? ? 1, 1, 2, 3, 5, 8, … This is the Fibonacci Sequence. The terms follow a recurrence relation because each term can be generated using the previous ones. ?<br>
slide3. The position. ? ? ? ? ? ? ? ?<br>
slide4. ? ?<br>
slide5. 1st Term 2nd Term 3rd Term . . . ? ? ? ? . . .<br>
slide6. Find the requested term of the following sequences. 100th term 50th term 20th term ? ? ? ? ? ? ? ? ? ? ? ? ? ?<br>
slide7. ? ? ? ? 1 2 3 4<br>
slide8. ? ? Add or subtract such that the numbers are now multiples of the common difference. Then divide.<br>
slide9. How many terms? (work out in your head!) 1 2 3 4 5 ? ? ? ? ?<br>
slide10. ? Let’s prove it! Find the sum of the first 30 terms of the following arithmetic sequences… 1 2 3 ? ? ?<br>
slide11. ?<br>
slide12. Edexcel C1 Jan 2012 ? ?<br>
slide13. Exercise 6F
Q1a, c, e, g
Q2a, c
Q5, Q6, 8, 10<br>
slide14. What do these summations mean? ? ? ? This is commonly seen in exams.<br>
slide15. ? ? ?<br>
slide16. There will occasionally be two series questions, one on nth term/sum of n terms, and the other on recurrence relations. Note that the sequence may not be arithmetic. Edexcel C1 May 2013 (Retracted) How would you say this in words? ? ? ? ?<br>
slide17. Edexcel C1 Jan 2012 ? ? ?<br>
slide2. 2, 5, 8, 11, 14, … +3 +3 +3 This is a: Arithmetic Series ? Geometric Series ? 3, 6, 12, 24, 48, … ? ? 1, 1, 2, 3, 5, 8, … This is the Fibonacci Sequence. The terms follow a recurrence relation because each term can be generated using the previous ones. ?<br>
slide3. The position. ? ? ? ? ? ? ? ?<br>
slide4. ? ?<br>
slide5. 1st Term 2nd Term 3rd Term . . . ? ? ? ? . . .<br>
slide6. Find the requested term of the following sequences. 100th term 50th term 20th term ? ? ? ? ? ? ? ? ? ? ? ? ? ?<br>
slide7. ? ? ? ? 1 2 3 4<br>
slide8. ? ? Add or subtract such that the numbers are now multiples of the common difference. Then divide.<br>
slide9. How many terms? (work out in your head!) 1 2 3 4 5 ? ? ? ? ?<br>
slide10. ? Let’s prove it! Find the sum of the first 30 terms of the following arithmetic sequences… 1 2 3 ? ? ?<br>
slide11. ?<br>
slide12. Edexcel C1 Jan 2012 ? ?<br>
slide13. Exercise 6F
Q1a, c, e, g
Q2a, c
Q5, Q6, 8, 10<br>
slide14. What do these summations mean? ? ? ? This is commonly seen in exams.<br>
slide15. ? ? ?<br>
slide16. There will occasionally be two series questions, one on nth term/sum of n terms, and the other on recurrence relations. Note that the sequence may not be arithmetic. Edexcel C1 May 2013 (Retracted) How would you say this in words? ? ? ? ?<br>
slide17. Edexcel C1 Jan 2012 ? ? ?<br>