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3 Sequences, functions and graphs<br />

3.1<br />

Sequences<br />

Students should be taught to:<br />

A generate terms of a sequence using<br />

term-to-term and position-to-term<br />

definitions of the sequence<br />

B find subsequent terms of an integer<br />

sequence and the rule for generating it<br />

Notes<br />

Including odd, even,<br />

squares, multiples and<br />

powers<br />

5, 9, 13, 17, …<br />

(add 4)<br />

C use linear expressions to describe the<br />

nth term of arithmetic sequences<br />

1, 2, 4, 8, …<br />

(multiply by 2)<br />

1, 3, 5, 7, 9, …<br />

nth term is 2n – 1<br />

3.2<br />

Function<br />

notation<br />

Higher Tier only<br />

nth term is 4n + 3,<br />

write down the first 3<br />

terms of the sequence<br />

3.3<br />

Graphs<br />

A interpret information presented in a range<br />

of linear and non-linear graphs<br />

B understand and use conventions for<br />

rectangular Cartesian coordinates<br />

C plot points (x, y) in any of the four<br />

quadrants or locate points with given<br />

coordinates<br />

D determine the coordinates of points<br />

identified by geometrical information<br />

E<br />

F<br />

determine the coordinates of the midpoint<br />

of a line segment, given the coordinates<br />

of the two end points<br />

draw and interpret straight line<br />

conversion graphs<br />

To include speed/time<br />

and distance/time<br />

graphs<br />

To include currency<br />

conversion graphs<br />

G find the gradient of a straight line gradient =<br />

(increase in y) ÷<br />

(increase in x)<br />

Pearson Edexcel International GCSE in Mathematics (Specification A) –<br />

Specification – Issue 1 – January 2016 © Pearson Education Limited 2016<br />

17

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