Factorials
Can a factorial be defined for a negative number?
No
2!
2
Two types of Series
Arithmetic and Geometric
Two types of Sequences
Arithmetic and Geometric
6!
8!/4!x4!
70
How many terms?
∑(n=1;7) (3n-2)
7
tn=4n+2; find t22
90
10!
10x9x8x7x6x5x4x3x2x1
(n+1)!/(n+4)!
1/(n+4)(n+3)(n+2)
What are the next 3 terms of the arithmetic sequence 1, 4, 7, 10, 13,
16,19,22
an=2n-1; find a10
1023
9!/7!2!
36
4!(n+2)! / 2!(n+3)!
12 / n+3
∑(n=1;3) (5n+1)
6+11+16=33
an = 2n / (n+2)! ; find a5
2/315
Emily has 6 different books and wants to arrange them on a shelf. In how many different ways can she arrange all of them?
6! = 720
5!×(n+3)! / 7!×(n+2)!
n+3 / 42
∑(n=1;4) (n+2)(n+3)
12+20+30+42=104
List the first 4 terms.
a1=2; an= 2 / 3an-1
2, 1/3, 2, 1/3,