Apps. and Interpretation HL Practice Paper Book | Page 19

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Systems of Equations
�ax �by �c
� � �dx �ey � f
: 2� 2 system
�ax � by � cz � d �
� �ex � fy � gz � h � �ix jy kz l
: 3� 3 system
� The above systems can be solved by PlySmlt2 in TI-84 Plus CE

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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
n
� ur � u1
� u2
� u3
� un�
1
� un
r�1
: Summation sign

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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 )
1
4 . ( 1 n
u � r S ) n
� : The sum of the first n terms 1� r www . seprodstore . com
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