Page 7 - Grab Me SPM Add Mathematics Form 4,5

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Algebra
CHAPTER 5 PROGRESSIONS

5.1 Arithmetic Progressions

First term, The nth term,
T = a T = a + (n – 1)d
1 n
Arithmetic
progressions
Example: Common difference,
2, 4, 6, 8, … d = T – T
n n - 1

• The sum of the first n terms, S is given by the • Given S ,
n
n
formula: (a) a = T = S 1
1
n (b) T = S – S n – 1
n
n
S = [2a + (n – 1)d]
n 2 (c) The sum from the nth term to the (n + k)th
n term, where k is a positive integer
= [a + l], l = T n = S n + k – S n – 1
2

Ch 5_Grab Me SPM AddMaths F4.indd 52 13/05/2022 9:01 AM