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Form 1 MathematicsChapter 2 and Chapter 4
Folder◦ Today
WB (P.77, 80, 81)◦ Today
SHW (III) (Chapter 4)◦ 14 Nov (Wednesday)
Open Book Quiz (Chapter 4)◦ 14 Nov (Wednesday)
Close Book Quiz (Chapter 4)◦ 21 Nov (Wednesday)
You must hand in on time!
Ronald HUI
A Sequence is a group of numbers with number pattern.
Each number in the sequence is called a Term.
The first one in the sequence is called the First Term.
In the sequence, 2, 4, 6, 8, 10, … 2 is the first term, 4 is the 2nd term, 6 is … The general term (通項 ) is 2n or an=2n
Ronald HUI
P.176 Questions 8-10: Find the first 3 terms of the sequence:
8. an=n+4
a1=1+4=5; a2=2+4=6; a3=3+4=7
9. an=n/3
a1=1/3; a2=2/3; a3=3/3=1
10. an=20-3n
a1=20-3(1)=17; a2=20-3(2)=14; a3=20-3(3)=11
Ronald HUI
P.176 Question 14: The general term of a sequence is 9(n+6). Find the first term, the 6th term and the 10th term of the sequence.
General term: an = 9(n+6) First term = a1 = 9(1+6) = 9 (7) =
63 6th term = a6 = 9(6+6) = 9 (12) = 108 10th term = a10 = 9(10+6) = 9 (16) =
144
Ronald HUI
P.176 Question 15: The general term an of a sequence is n(n+3). Find the first 5 terms and the 20th term of the sequence.
General term: an = (n)(n+3) 1st term = a1 = (1)(1+3) = 1(4) = 4 2nd term =a2 = (2)(2+3) = 2(5) = 10 3rd term = a3 = (3)(3+3) = 3(6) = 18 4th term = a4 = (4)(4+3) = 4(7) = 28 5th term = a5 = (5)(5+3) = 5(8) = 40 20th term = a20 = (20)(20+3) = 20(23)=460
Ronald HUI
P.176 Question 17b: Consider the sequence6, 12, 18, 24, 30, … Use an algebraic expression to represent the general term an of the sequence
n = 1, 2, 3, 4, 5, ……, n an = 6, 12, 18, 24, 30, ……, ??
an = 6n
Pages 83 - 84 of WB 1A◦ Questions 1 - 4
Page 175 of Textbook 1A◦ Questions 1 - 12
Ronald HUI
A function is an input-process-output relationship between numbers.
For each input, there is one (and only one) output.
Sequence an = 2n is a function. Formula A = r2 is a function.
Page 180 of Textbook 1A◦ Questions 9 -12
Pages 86-87 of WB 1A◦ Questions 1 - 5
Result of Close Book Quiz◦ Full mark: 40 and 10 bonus◦ Highest: 37◦ Lowest: 9◦ Average: 20◦ Number of students between 10 – 19: 16◦ Number of students between 6 - 9: 1
Major Problems◦ Most of you just marginally passed◦ Wrong calculation!◦ Careless mistakes!
Result of Close Book Quiz 4th place (6): CHOI King Shing, Walker
NG Qiu Lun Marco TANG Yiu Cheung Harald WONG Pui Yin, PaulWU SHAN Hao YiYEUN Tin Wai Timmy
3rd place: CHEN Yi, David 2nd place: LI Ming Chun Edward 1st place: LI Sai Kong
Congratulations!!! Well done!!!
Today last lesson + afterschool (maybe)
The following students must attend: Close Book Mark < 16 1, 10, 11, 16, 26, 36
Others are welcome to join.
SHW (III) (Chapter 4)◦ 14 Nov (Wednesday)
Open Book Quiz (Chapter 4)◦ 14 Nov (Wednesday)
Close Book Quiz (Chapter 4)◦ 21 Nov (Wednesday)
You must hand in on time!
Good Luck!
Enjoy the world of Mathematics!
Ronald HUI