Page 5 - PRE-U STPM MATHEMATICS (T) TERM 1

CHAPTER
2 SEQUENCES

AND SERIES

2
Subtopic Learning Outcome

2.1 Sequences (a) Use an explicit formula and a recursive formula for a sequence.
(b) Find the limit of a convergent sequence.

2.2 Series (a) Use the formulae for the nth term and for the sum of the first n terms of an
arithmetic series and of a geometric series.
(b) Identify the condition for the convergence of a geometric series, and use the
formula for the sum of a convergent geometric series.
(c) Use the method of differences to find the nth partial sum of a series, and
deduce the sum of the series in the case when it is convergent.

2.3 Binomial (a) Expand (a + b) , where n ∈ Z .
+
n
expansions (b) Expand (1 + x) , where n ∈ Q, and identify the condition |x| , 1 for the
n
validity of this expansion.
(c) Use binomial expansions in approximations.

Bilingual Keywords

approximation – penghampiran
arithmetic – aritmetik
binomial expansion – kembangan binomial
converge – menumpu
explicit – tak tersirat
geometric – geometri
limit – had
sequence – jujukan
series – siri
recursive – rekursif

02 STPM Math T T1.indd 92 3/28/18 4:21 PM