Your Practice Paper – Analysis and Approaches SL for IBDP Mathematics

� Properties of the graphs of y� log _a x: a � 1 0�a

� 1 x -intercept � 1 y increases as x increases y decreases as x increases x tends to zero as y tends to x tends to zero as y tends to negative infinity positive infinity Vertical asymptote : x � 0

Arithmetic Sequences

� Properties of an arithmetic sequence u n

:

1 . u

1

: First term 2 . d � u2 �u1 � un

� un

_� 1: Common difference 3 . u � u1 � ( n � 1 ) d : General term ( n th term ) n n n

�

1� � �

1� : The sum of the first n n terms

2 2

4 . S �2 u ( n 1 ) d� �u u � n

: Summation sign

Geometric Sequences

� Properties of a geometric sequence u n

:

1 . u

1

: First term 2 . r � u2 �u1 � un

� un

_� 1

: Common ratio

3 .

u u r ^�

n 1 n

�

1

� : General term ( n th term )

6

SE Production Limited