11x1 t10 01 definitions & arithmetic series
TRANSCRIPT
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Series & Applications
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Series & ApplicationsDefinitions
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Series & ApplicationsDefinitionsSequence (Progression):a set of numbers that follow a pattern
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Series & ApplicationsDefinitionsSequence (Progression):a set of numbers that follow a patternSeries:a set of numbers added together
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Series & ApplicationsDefinitionsSequence (Progression):a set of numbers that follow a patternSeries:a set of numbers added togethera:the first term
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Series & ApplicationsDefinitionsSequence (Progression):a set of numbers that follow a patternSeries:a set of numbers added togethera:the first term
nth term the:nT
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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
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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
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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
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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
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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
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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
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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
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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
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Arithmetic Series
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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.
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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.
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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.
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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.
![Page 20: 11X1 T10 01 definitions & arithmetic series](https://reader033.vdocuments.mx/reader033/viewer/2022052223/55895e77d8b42a593f8b4737/html5/thumbnails/20.jpg)
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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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100 Tii
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100 Tii 300
1003
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100 Tii 300
1003 (iii) the first term greater than 500
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100 Tii 300
1003 (iii) the first term greater than 500
500nT
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100 Tii 300
1003 (iii) the first term greater than 500
500nT5003 n
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100 Tii 300
1003 (iii) the first term greater than 500
500nT5003 n
3500
n
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100 Tii 300
1003 (iii) the first term greater than 500
500nT5003 n
3500
n
167n
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100 Tii 300
1003 (iii) the first term greater than 500
500nT5003 n
3500
n
167n500first termtheis,501167 T
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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