notes over 11.1 sequences and series a sequence is a set of consecutive integers. a finite sequence...

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