11x1 t10 01 definitions & arithmetic series
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Series & Applications
Series & ApplicationsDefinitions
Series & ApplicationsDefinitionsSequence (Progression):a set of numbers that follow a pattern
Series & ApplicationsDefinitionsSequence (Progression):a set of numbers that follow a patternSeries:a set of numbers added together
Series & ApplicationsDefinitionsSequence (Progression):a set of numbers that follow a patternSeries:a set of numbers added togethera:the first term
Series & ApplicationsDefinitionsSequence (Progression):a set of numbers that follow a patternSeries:a set of numbers added togethera:the first term
nth term the:nT
Series & ApplicationsDefinitionsSequence (Progression):a set of numbers that follow a patternSeries:a set of numbers added togethera:the first term
nth term the:nTn termsfirst theof sum the:nS
Series & ApplicationsDefinitionsSequence (Progression):a set of numbers that follow a patternSeries:a set of numbers added togethera:the first term
nth term the:nTn termsfirst theof sum the:nS
find; ,2 .. 2 nTge n
Series & ApplicationsDefinitionsSequence (Progression):a set of numbers that follow a patternSeries:a set of numbers added togethera:the first term
nth term the:nTn termsfirst theof sum the:nS
find; ,2 .. 2 nTge n
5 Ti
Series & ApplicationsDefinitionsSequence (Progression):a set of numbers that follow a patternSeries:a set of numbers added togethera:the first term
nth term the:nTn termsfirst theof sum the:nS
find; ,2 .. 2 nTge n
5 Ti27
252
Series & ApplicationsDefinitionsSequence (Progression):a set of numbers that follow a patternSeries:a set of numbers added togethera:the first term
nth term the:nTn termsfirst theof sum the:nS
find; ,2 .. 2 nTge n
5 Ti27
252
(ii) whether 42 is a term in the sequence
Series & ApplicationsDefinitionsSequence (Progression):a set of numbers that follow a patternSeries:a set of numbers added togethera:the first term
nth term the:nTn termsfirst theof sum the:nS
find; ,2 .. 2 nTge n
5 Ti27
252
(ii) whether 42 is a term in the sequence
242 2 n
Series & ApplicationsDefinitionsSequence (Progression):a set of numbers that follow a patternSeries:a set of numbers added togethera:the first term
nth term the:nTn termsfirst theof sum the:nS
find; ,2 .. 2 nTge n
5 Ti27
252
(ii) whether 42 is a term in the sequence
242 2 n
40402
nn
Series & ApplicationsDefinitionsSequence (Progression):a set of numbers that follow a patternSeries:a set of numbers added togethera:the first term
nth term the:nTn termsfirst theof sum the:nS
find; ,2 .. 2 nTge n
5 Ti27
252
(ii) whether 42 is a term in the sequence
242 2 n
40402
nn
, which is not an integerThus 42 is not a term
Arithmetic Series
Arithmetic SeriesAn arithmetic series is a sequence of numbers in which each term after the first is found by adding a constant amount to the previous term.
Arithmetic SeriesAn arithmetic series is a sequence of numbers in which each term after the first is found by adding a constant amount to the previous term.
The constant amount is called the common difference, symbolised, d.
Arithmetic Series
aTd 2
An arithmetic series is a sequence of numbers in which each term after the first is found by adding a constant amount to the previous term.
The constant amount is called the common difference, symbolised, d.
Arithmetic Series
aTd 2
23 TT
An arithmetic series is a sequence of numbers in which each term after the first is found by adding a constant amount to the previous term.
The constant amount is called the common difference, symbolised, d.
Arithmetic Series
aTd 2
23 TT
An arithmetic series is a sequence of numbers in which each term after the first is found by adding a constant amount to the previous term.
The constant amount is called the common difference, symbolised, d.
1 nn TTd
Arithmetic Series
aTd 2
23 TT aT 1
An arithmetic series is a sequence of numbers in which each term after the first is found by adding a constant amount to the previous term.
The constant amount is called the common difference, symbolised, d.
1 nn TTd
Arithmetic Series
aTd 2
23 TT aT 1
An arithmetic series is a sequence of numbers in which each term after the first is found by adding a constant amount to the previous term.
The constant amount is called the common difference, symbolised, d.
1 nn TTddaT 2
Arithmetic Series
aTd 2
23 TT aT 1
An arithmetic series is a sequence of numbers in which each term after the first is found by adding a constant amount to the previous term.
The constant amount is called the common difference, symbolised, d.
1 nn TTddaT 2
daT 23
Arithmetic Series
aTd 2
23 TT aT 1
An arithmetic series is a sequence of numbers in which each term after the first is found by adding a constant amount to the previous term.
The constant amount is called the common difference, symbolised, d.
1 nn TTddaT 2
daT 23 dnaTn 1
Arithmetic Series
aTd 2
23 TT aT 1
term.general the
find;,21and 9If.. 73 TTige
An arithmetic series is a sequence of numbers in which each term after the first is found by adding a constant amount to the previous term.
The constant amount is called the common difference, symbolised, d.
1 nn TTddaT 2
daT 23 dnaTn 1
Arithmetic Series
aTd 2
23 TT aT 1
term.general the
find;,21and 9If.. 73 TTige
92 da
An arithmetic series is a sequence of numbers in which each term after the first is found by adding a constant amount to the previous term.
The constant amount is called the common difference, symbolised, d.
1 nn TTddaT 2
daT 23 dnaTn 1
Arithmetic Series
aTd 2
23 TT aT 1
term.general the
find;,21and 9If.. 73 TTige
92 da216 da
An arithmetic series is a sequence of numbers in which each term after the first is found by adding a constant amount to the previous term.
The constant amount is called the common difference, symbolised, d.
1 nn TTddaT 2
daT 23 dnaTn 1
Arithmetic Series
aTd 2
23 TT aT 1
term.general the
find;,21and 9If.. 73 TTige
92 da216 da
3124
dd
An arithmetic series is a sequence of numbers in which each term after the first is found by adding a constant amount to the previous term.
The constant amount is called the common difference, symbolised, d.
1 nn TTddaT 2
daT 23 dnaTn 1
Arithmetic Series
aTd 2
23 TT aT 1
term.general the
find;,21and 9If.. 73 TTige
92 da216 da
3124
dd
3a
An arithmetic series is a sequence of numbers in which each term after the first is found by adding a constant amount to the previous term.
The constant amount is called the common difference, symbolised, d.
1 nn TTddaT 2
daT 23 dnaTn 1
Arithmetic Series
aTd 2
23 TT aT 1
term.general the
find;,21and 9If.. 73 TTige
92 da216 da
3124
dd
3a
An arithmetic series is a sequence of numbers in which each term after the first is found by adding a constant amount to the previous term.
The constant amount is called the common difference, symbolised, d.
1 nn TTddaT 2
daT 23 dnaTn 1
313 nTn
Arithmetic Series
aTd 2
23 TT aT 1
term.general the
find;,21and 9If.. 73 TTige
92 da216 da
3124
dd
3a
An arithmetic series is a sequence of numbers in which each term after the first is found by adding a constant amount to the previous term.
The constant amount is called the common difference, symbolised, d.
1 nn TTddaT 2
daT 23 dnaTn 1
313 nTn
nn
3333
100 Tii
100 Tii 300
1003
100 Tii 300
1003 (iii) the first term greater than 500
100 Tii 300
1003 (iii) the first term greater than 500
500nT
100 Tii 300
1003 (iii) the first term greater than 500
500nT5003 n
100 Tii 300
1003 (iii) the first term greater than 500
500nT5003 n
3500
n
100 Tii 300
1003 (iii) the first term greater than 500
500nT5003 n
3500
n
167n
100 Tii 300
1003 (iii) the first term greater than 500
500nT5003 n
3500
n
167n500first termtheis,501167 T
100 Tii 300
1003 (iii) the first term greater than 500
500nT5003 n
3500
n
167n500first termtheis,501167 T
Exercise 6C; 1aceg, 2bdf, 3aceg, 5, 7bd, 10, 13b, 15
Exercise 6D; 1adg, 2c, 3bd, 6a, 7, 9bd, 13
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