spec

3 Sequences, functions and graphs
3.1
Sequences
3.2
Function
notation
3.3
Graphs
Students should be taught to:
A understand and use common difference
(d) and first term (a) in an arithmetic
sequence
B know and use nth term = a+ ( n−
1) d
C find the sum of the first n terms of an
arithmetic series (Sn)
A understand the concept that a function is
a mapping between elements of two sets
B use function notations of the form
f(x) = … and f : x …
C understand the terms ‘domain’ and
‘range’ and which values may need to be
excluded from a domain
D understand and find the composite
function fg and the inverse function f -1
A recognise, plot and draw graphs with
equation:
3 2
y = Ax + Bx + Cx + D in which:
(i) the constants are integers and
some could be zero
(ii) the letters x and y can be replaced
with any other two letters or:
Notes
e.g. given 2nd term is
7 and 5th term is 19,
find a and d
e.g. given
4 + 7 + 10 + 13 + …
find sum of first 50
terms
1
f(x) =
x − 2
exclude x = 2
‘fg’ will mean ‘do g
first, then f’
3
y = x
y = x − x + x−
y = 2x − 6x+
2
V = 60 w(60 − w)
3
3
2
2
5 4
3
3 2
y = Ax + Bx + Cx + D + + x x
2
in which:
(i) the constants are numerical and at
least three of them are zero
(ii) the letters x and y can be replaced
with any other two letters or:
y= sin xy , = cos xy , = tan x for angles of
any size (in degrees)
E
F
1
y = , x ≠ 0,
x
1
y = x + x +
x
x ≠ 0,
2
2 3 ,
1 (3
2 5),
y =
x
x −
x ≠ 0,
5
w= 2 , d ≠ 0
d
Pearson Edexcel International GCSE in Mathematics (Specification A) –
Specification – Issue 1 – January 2016 © Pearson Education Limited 2016
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