Section 7.2 Arithmetic Sequences Arithmetic Sequence Finding the nth term of an Arithmetic Sequence.
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Transcript of Section 7.2 Arithmetic Sequences Arithmetic Sequence Finding the nth term of an Arithmetic Sequence.
Section 7.2 Arithmetic Sequences
Arithmetic Sequence
Finding the nth term of an Arithmetic Sequence
Find the next four terms.
13112221
1,11,21,1211,111221,....
312211
1113213211
Find the next four terms.
5,9,13,17,21,...
2925 33
Arithmetic Sequence
a common difference between consecutive terms.
Ex:
Determine if the following are arithmetic
5,9,13,17,21,...
3, 12, 21, 30,...
4x,5x, 7x,10x,...
2 33x,6x ,9x ...
Arithmetic Sequence With a partner find the common difference,
d, for each of the given sequences. You may need to write out the terms if the formula is given.
a)1, 4, 7,10,13,...
b)6,12,18,24,...
c)100,90,80, 70,...
nd)a 4n 3
ne)a 7 5n
n
1f)a n 3
4
3
6
10
4
514
nth term of an arithmetic sequence
n 1a a n 1 d
nth term first term
common difference
Ex: Write out the first five terms of the arithmetic sequence if
1a 10 and d 4
1a 10
2a 14
3a 18
4a 22
5a 26
Ex: From the previous example, find na
n 1a a n 1 d
na 10 n 1 4
na 6 4n
Ex: From the previous example, find 50a
50
50
a 6 4 50
a 206
Ex: Find for the arithmetic sequence having and
18a
18 1a a n 1 d
2a 9 3a 15
1a 3 d 6
18a 3 18 1 6
18a 105
Ex: Find d, and for the arithmetic sequence having and
20a
6a 22 1a
8a 32
6 1a a n 1 d
6a 22
d 5
122 a 6 1 5
1a 3
7a ? 8a 32 7a 27
20 1a a n 1 d
20a 3 20 1 5
20a 92