Notes Over 11.2 Arithmetic Sequences An arithmetic sequence has a common difference between consecutive terms. The sum of the first n terms of an arithmetic

Notes Over 11.2Arithmetic SequencesArithmetic Sequences

An arithmetic sequence has a common difference between consecutive terms.

The sum of the first n terms of an arithmetic series is:

2

1 nn

aanS

The nth term of an arithmetic sequence is given by:

dnaan 11 first term 1 a

difference d

,8 ,3 2, 7, 12, .1


Decide whether the sequence is arithmetic.

5 5 5 5

,23 ,22 16, 8, 4, .2

4 8 6 10

,8 ,6 4, 2, 1, .3


Decide whether the sequence is arithmetic.

1 2 2 2

,53 ,13 27, 23, 19, .4

4 4 4 4

,8 ,3 2, 7, 12, .5


Write a rule for the nth term of the sequence and find a15.

5 5 5 5 dnaan 11

12

5

nan 512 5 175 n

1715515 a 1775 58

,53 ,13 27, 23, 19, .6



dnaan 11

19

nan 419 4 154 n

1515415 a 1560 75

4 4 4 44

,31 ,11 9, 7, 5, .7



dnaan 11

5

nan 25 2 32 n

315215 a 330 33

2 2 2 22

,0 ,1 2, 3, 4, .8



dnaan 11

4

nan 4 1 5 n 51515 a 10

1 1 1 11

,12 ,6 0, 6, 12, .9



dnaan 11

12

nan 612 6 186 n 1815615 a 72

6 6 6 66

1890

,71 ,41 11, 8, 5, .10



dnaan 11

5

nan 35 3 23 n

215315 a 245 47

3 3 3 33

19; 5432 .11 n


Find the sum of the first n terms of the arithmetic series..

1 1 1 dnaan 11

2

1n2 1 1n

11919 a

2

1 nn

aanS

2019

192

20

2

2291 209

515

50; 55453525 .12 n


Find the sum of the first n terms of the arithmetic series..

10 10 10 dnaan 11

25

10n1025 10 1510 n

15501050 a

2

1 nn

aanS

15500 50

5025

515

2

54050 13,500

Notes Over 11.2

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Notes Over 11.2 Arithmetic Sequences An arithmetic sequence has a common difference between consecutive terms. The sum of the first n terms of an arithmetic