chapter 8 (sequences and series) Flashcards
1
Q
seqquence
A
an ordered list of numbers
2
Q
explicit formula of a sequence
A
an = f(n)
3
Q
recoursive formula of a sequence
A
an+1 = f(an)
4
Q
limits of a sequence
A
if the limit exists then it converges
if the limit does not exist than it diverges
5
Q
infinite series
A
the sum of the terms in a sequence
6
Q
lim(to inf) (a+b) =
A
a+b
7
Q
lim(to inf) cA = (c is a real number)
A
cA
8
Q
lim(to inf) AB
A
AB
9
Q
increasing
A
if a(n+1)>an 1,2,3,4,5
10
Q
noindecreasing
A
if a(n+1) >= an 1,2,2,3,3,4,4,5
11
Q
decreasing
A
if a(n+1)
12
Q
nonincreasing
A
if a(n+1)<=an 5,5,4,4,3,3,2,2,1,1
13
Q
monotonic
A
if it is either nonincreasing or nondecreasing(moves in one direction)
14
Q
bounded
A
if there is a number M such that |a|n<=Mfir all relevant values of n
15
Q
geometric sequence
A
have the form r^n or ar^n