WEEK 1 – LESSON 2 SEQUENCES Angel G. Bassig

STARTER Week 1 – Lesson 2 Starter Please go to our Maths iTunesU course and answer the starter activity for 5 minutes. Week 1 – Lesson 2 Starter

OBJECTIVE To be able to find the terms of a sequence.

Formulae from Sequences If we know the formula for a sequence, we can find the first 5 terms of the sequence. For example: 2n ‘n’ represents the term’s number. 1 2 3 4 5 Term (n) 2 4 6 8 10 Value

Formulae from Sequences Find the first 5 terms of the sequence. 3n + 5 ‘n’ represents the term’s number. 1 2 3 4 5 Term (n) 8 11 14 17 20 Value

Formulae from Sequences Find the first 5 terms of the sequence. 10n - 10 ‘n’ represents the term’s number. 1 2 3 4 5 Term (n) 10 20 30 40 Value

Formulae from Sequences Find the first 5 terms of the sequence. 100 – 10n ‘n’ represents the term’s number. 1 2 3 4 5 Term (n) 90 80 70 60 50 Value

Let’s check your understanding … Answer worksheet 1 in pairs Time: 10 Minutes

Worksheet 1 Find the first 5 terms for each of these sequences 1. 2. 3. 4. 5. 6. 7. 8. 5n + 2 7, 12, 17, 22, 27 . . . 7, 11, 15, 19, 23 . . . 2, 9, 16, 23, 30 . . . 13, 22, 31, 40, 49 . . . 12, 32, 52, 72, 92 . . . 11, 13, 15, 17, 19 . . . 1, 12, 23, 34, 45 . . . - 5, 1, 7, 13, 19 . . . 4n + 3 7n - 5 9n + 2 20n - 8 2n + 9 11n + 10 6n - 11

Answer worksheets 2 and 3 individually Let’s check your understanding … Answer worksheets 2 and 3 individually Time: 10 Minutes

Worksheet 2 A. Find the first 5 terms for each of these sequences 1. 2. 3. 4. 5. 6. 7. 8. 2n + 0.5 2.5, 3, 3.5, 4, 4.5 . . . 93, 86, 79, 72, 65 . . . 16, 15, 14, 13, 12 . . . 48, 46, 44, 42, 40 . . . 13, 16, 19, 22, 25 . . . 12, 13, 14, 15, 16 . . . 50, 45, 40, 35, 30 . . . -5, -3, -1, 1, 3 . . . 100 – 7n 17 - n 50 – 2n 3n + 10 n + 11 55 – 5n 2n - 7

Worksheet 2 B. Find the 10th term for each of these sequences 1. 2. 3. 4. 5. 6. 7. 8. 5n + 2 52 43 65 92 192 29 120 49 4n + 3 7n - 5 9n + 2 20n - 8 2n + 9 11n + 10 6n - 11

PLENARY Discuss the worksheet answers . Share one or two things learned in today’s lesson.

HOMEWORK Find the 10th term for each of these sequences 1. 2. 3. 4. 5. 6. 7. 8. 2n + 0.5 20.5 30 7 40 21 5 13 100 – 7n 17 - n 50 – 2n 3n + 10 n + 11 55 – 5n 2n - 7