series & sequences Flashcards
(8 cards)
1
Q
sequence
A
an ordered collection
2
Q
series
A
created by summing the successive terms of a sequence
3
Q
infinite sequence
A
An infinite sequence converges to a value of L if it eventually gets closer & closer to a specific value L
4
Q
Geometric sequence
A
A sequence where each term is obtained by multiplying the previous term by a fixed ratio
𝑟
Example: 𝑎, 𝑎𝑟, 𝑎𝑟^2, 𝑎𝑟^3…
Tn = ar^(n-1)
a= initial value
r=common ratio
r = (T(k+1)/ Tk
5
Q
geometric series
A
a, a+ar, a+ar+ar^2, a +ar +ar^2 + ar^3
6
Q
arithmetic/linear
A
Tn = a + (n-1)d
a= 1st term
d = common difference
d = Tk+1 - Tk
7
Q
quadratic sequences
A
Tn = 2n^2 + bn + c
8
Q
A
