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July 15, 2016
12.2 - Arithmetic Sequences
A sequence is a list of numbers. (A pattern is not necessary)
Ex 1)
2,5,8,11,14, ....
Number/Position of term
Term value
July 15, 2016
Arithmetic Sequence - A sequence in which the difference (d)
of consecutive terms is constant.
Determine if the sequence is arithmetic. If so, identify the common difference.
2) -4, 1, 6, 11, 16....
3) 2, 6, 18, 54, ....
4) 8, 3, -2, -7, ...
5) 3, 5, 8, 12, 17.......
9) Which of the sequences on the mini sheet were
arithmetic?
July 15, 2016
Find the first 5 terms of each sequence.
6)
7)
July 15, 2016
Find the first 5 terms of each sequence.
7)
July 15, 2016
The nth term rule for an arithmetic sequence is
where a1 is the first term of the sequence and
d is the common difference.
Find the formula for the nth term in each arithmetic sequence.
10) 4, 9, 14, 19.......
b) Find the 20th term
11) -1, -3, -5, -7......
b) Find the 30th term
July 15, 2016
12) 5, 11, 17, 23, 29........
b) Find the 80th term
13)
b) Find the 40th term
July 15, 2016
Find a formula for each arithmetic sequence.
14) a27 = 263, d = 11
15) a16 = 52, d = -8
July 15, 2016
16) a10 = 148, a44 = 556
July 15, 2016
Homework: pg. 806
#3-27 EOO
July 15, 2016
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