Teacher's Guide - Pearson

Exercise 2.3 (Student’s Book page 25)1. 23; 21; 1; T 105 15 (linear)2. 1; 23; 27; T 105 235 (linear)3. 12; 13; 14; T 105 21 (linear)4. 27​1__2 ​; 28; 28​ 1__2 ​; T 5 212 (linear)105. 4; 6.5; 9; T 105 26.5 (linear)6. 0; 6; 16; T 105 198Exercise 2.4 (Student’s Book page 27)1. a) T n5 13 1 5nb) T 405 2132. a) T 305 100b) T 505 180, so there are 50 terms (n 5 50).Extension Activity 2.1 (Student’s Book page 27)1. T n5 n 2 3 (21) n2. T n5 ______ n​(n 1 1) ​3. T n5 (n 2 )(3 n )4. T n5 4n 2 75. T n5 _______ (2n 2 1)​(3n 2 2) ​Exercise 2.5 (Student’s Book page 28)1. a) d 5 1​1__2 ​b) T n5 1​1__2 ​n 1 3​ 1__2 ​c) T 1005 153​1__2 ​d) n 5 1502. 3; 7; 113. a) 96 is not a term in this sequence.b) T n5 6n 1 10200 5 6n 1 10∴ n 5 31.6 .∴ 200 is not a term in this sequence because n ∈ .4. a) T 415 18.7b) T 45 0.2 ∴ T 4is closest to zero.c) T 775 36.7d) 23 terms are less than 10.Chapter 2: Patterns and sequences9