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Notes Over 11.1Sequences and SeriesSequences and Series
A sequence is a set of consecutive integers.
A finite sequence contains a last termInfinite sequences continue without stopping.
A series is when the terms of a sequence are added.
Summation notation, also known as sigma notation is used to write series.
4
1
2 :examplei
i
35 .1 nan
Notes Over 11.1Sequences and SeriesSequences and Series
Write the first five terms of the sequence.
3151 a 35 2Start with n = 1.
3252 a 310 7 3353 a 315 12 3454 a 320 17 3555 a 325 22
2 .2 nan
Notes Over 11.1Sequences and SeriesSequences and Series
Write the first five terms of the sequence.
211 a 1Start with n = 1.
222 a 0 233 a 1 244 a 2 255 a 3
nna 2 .3
Notes Over 11.1Sequences and SeriesSequences and Series
Write the first five terms of the sequence.
11 2a 2
Start with n = 1.
22 2a 4
33 2a 8
44 2a 16
55 2a 32
n
an
n
1 .4
Notes Over 11.1Sequences and SeriesSequences and Series
Write the first five terms of the sequence.
1
1 1
1
a 1
Start with n = 1.
2
1 2
2
a
2
1
3
1 3
3
a
3
1
4
1 4
4
a
4
1
5
1 5
5
a
5
1
. . . 12, 9, 6, 3, .5
Notes Over 11.1Sequences and SeriesSequences and Series
Write the next term in the sequence. Then write a rule for the nth term.
15nan 3
. . . ,7
1 ,
5
1 ,
3
1 ,
1
1 .6
9
1
1na n2 1
. . . 1, 2, 3, 4, .7
Notes Over 11.1Sequences and SeriesSequences and Series
Write the next term in the sequence. Then write a rule for the nth term.
05nan
. . . ,6
5 ,
5
4 ,
4
3 ,
3
2 .8
7
6
1n
an 2n
12765 .9
Notes Over 11.1Sequences and SeriesSequences and Series
Write the series with summation notation.
4nan
8
1i
4i 488 a
963 .10
Notes Over 11.1Sequences and SeriesSequences and Series
Write the series with summation notation.
nan 3
1i
i3
Notes Over 11.1Sequences and SeriesSequences and Series
Write the series with summation notation.
nan
12
1i
2ii
14
12 . . .
6
4
5
3
4
2
3
1 .11
2n 14
1212 a
753 .12
Notes Over 11.1Sequences and SeriesSequences and Series
Write the series with summation notation.
nan 2
1i
112 i
Notes Over 11.1
