Page 108 - ADVANCED MATH F.5

Form Five Form Five

2. In groups, ask students to discuss convergence of the series
expansion. Advise students to submit their work, check the
correctness of their answers, and provide them constructive
feedback.
6. 1 4y−READING ONLY
3. Use Examples 5.57 to 5.60 in the student’s Book, and give
clear instructions for each example in the Student’s Book to guide
students on how to obtain the series expansion of the given
expressions. Engage students to use mathematical software
to verify the given expansion for the given examples. Advise
them to share their findings.

4. Require students to attempt Exercise 5.10 in the student’s
Book. Advise them to submit their work, check the correctness
of their answers, and provide them constructive feedback.

Answers to Exercise 5.10

5 1 1 2 2
3. 1 2x + x + ; − << 4. − < y <
2
x
+
2 3 3 3 3
FOR ONLINE
7 1 1
a
2
5. 1 a−− a + ; − < < − 24y − 2 224 ; 2.499y 3
2 3 3
1 1
8. 1+ t − t + 2  ; 2.080
3 9
1 1 1 1 3 5 3 1 1
2 2 2
− <<
10. − − 1 2x+ n− − n − + n− n −;x +,1− ,1 n− < <1n− < x< 1
16 2
4 4 2 2 16 3 3
The general term of a binomial expansion
Teaching steps
1. Guide students in groups to discuss the general term of a
n
binomial expansion (ab+ ) which is given by T r+ 1 = n C a nr− b r .
r

102
Mathematics for Advanced Secondary Schools

30/06/2024 18:02:22
ADVANCED MATH F.5 TG CHAPTERS.indd 102 30/06/2024 18:02:22
ADVANCED MATH F.5 TG CHAPTERS.indd 102