Notes Over 11.2 Arithmetic Sequences An arithmetic sequence has a common difference between...
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Transcript of Notes Over 11.2 Arithmetic Sequences An arithmetic sequence has a common difference between...
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
Notes Over 11.2Arithmetic SequencesArithmetic Sequences
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
Notes Over 11.2Arithmetic SequencesArithmetic Sequences
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
Notes Over 11.2Arithmetic SequencesArithmetic Sequences
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
Notes Over 11.2Arithmetic SequencesArithmetic Sequences
Write a rule for the nth term of the sequence and find a15.
dnaan 11
19
nan 419 4 154 n
1515415 a 1560 75
4 4 4 44
,31 ,11 9, 7, 5, .7
Notes Over 11.2Arithmetic SequencesArithmetic Sequences
Write a rule for the nth term of the sequence and find a15.
dnaan 11
5
nan 25 2 32 n
315215 a 330 33
2 2 2 22
,0 ,1 2, 3, 4, .8
Notes Over 11.2Arithmetic SequencesArithmetic Sequences
Write a rule for the nth term of the sequence and find a15.
dnaan 11
4
nan 4 1 5 n 51515 a 10
1 1 1 11
,12 ,6 0, 6, 12, .9
Notes Over 11.2Arithmetic SequencesArithmetic Sequences
Write a rule for the nth term of the sequence and find a15.
dnaan 11
12
nan 612 6 186 n 1815615 a 72
6 6 6 66
1890
,71 ,41 11, 8, 5, .10
Notes Over 11.2Arithmetic SequencesArithmetic Sequences
Write a rule for the nth term of the sequence and find a15.
dnaan 11
5
nan 35 3 23 n
215315 a 245 47
3 3 3 33
19; 5432 .11 n
Notes Over 11.2Arithmetic SequencesArithmetic Sequences
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
Notes Over 11.2Arithmetic SequencesArithmetic Sequences
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