SWBAT find terms of a sequence given the general term
SWBAT look for a pattern in a sequence and find the general term
SWBAT apply factorial notation
SWBAT apply recursion formulas

An order in which one thing follows another
in succession

In math it’s a function whose domain is a set
of positive integers
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Written as 𝑎1 , 𝑎2 , 𝑎3 , … 𝑎𝑛 , …
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Finite Sequence: has the domain {1, 2, 3, …, n}
for some positive integer n

Infinite Sequence: has the domain of all
positive integers {1, 2, 3, …}
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Find the first four (n= 1, 2, 3, 4) terms of the
sequence given the general term
 𝑎𝑛 = 2𝑛 −
 𝑏𝑛 =
(−1)𝑛
𝑛+1
 𝑎𝑛 =
(−1)𝑛
𝑛2

Find the general term of the sequence, given
the first five terms

1 1 1 1
1, , , , , …
4 9 16 25
 −1,4, −9,16, −25, …

1 1
1 1
1
− , ,− , ,− ,…
2 4
6 8
10
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If n is a positive integer, then n! (stated as “n
factorial”) is the product of all positive
integers from n down to 1

5! = 5 * 4 * 3 * 2 * 1

Evaluate each factorial expression

6!
2!∙3!

9!
7!

3!∙4!
2!∙6!