# Lesson - Finding the nth Term

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Category: Education

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## Presentation Transcript

Seating Plan

### A :

A Learning Objectives LO1 – Finding the nth term Write this neatly into your books. Underline headings with a ruler. C/W

### Sequences of multiples :

Sequences of multiples All sequences of multiples can be generated by adding the same amount each time. They are linear sequences. For example, the sequence of multiples of 5: 5, 10, 15, 20, 25, 30, 35, 40, … can be found by adding 5 each time. Compare the terms in the sequence of multiples of 5 to their position in the sequence: Position Term 1 5 2 10 3 15 4 20 5 25 n … … 5n Sequences - LO1 - Finding the nth term

### Sequences of multiples :

Sequences of multiples The sequence of multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24, … can be found by adding 3 each time. Compare the terms in the sequence of multiples of 3 to their position in the sequence: Position Term 1 3 2 6 3 9 4 12 5 15 n … … 3n The nth term of a sequence of multiples is always dn, where d is the difference between consecutive terms. Sequences - LO1 - Finding the nth term

### Sequences of multiples :

Sequences of multiples For example, The nth term of 4, 8, 12, 16, 20, 24, … is 4n The 10th term of this sequence is 4 × 10 = 40 The 25th term of this sequence is 4 × 25 = 100 The 47th term of this sequence is 4 × 47 = 188 Sequences - LO1 - Finding the nth term

### Task 1 :

Task 1 Draw out this table and answer the q’s a-e Sequences LO1 - Finding the nth term

### Task 1 answers :

Task 1 answers Draw out this table and answer the q’s a-e Sequences LO1 - Finding the nth term

### Task 2 :

Task 2 Draw out this table and answer the following q’s by drawing a table for each question Q1 a) 3n+5 b) 2n-1 c) 4n+6 d) 4n-1.5 e) 5n+0.1 e) 8n-19 SequencesLO1 - Finding the nth term

### Task 2 - answers :

Task 2 - answers Sequences - LO1 - Finding the nth term

### Task 2 - answers :

Task 2 - answers Sequences - LO1 - Finding the nth term

### Plenary :

Plenary Learning Objectives LO1 – Finding the nth term Sequences LO1 - Finding the nth term