D: Sequences and Series Flashcards
(8 cards)
1
Q
Binomial expansion
A
(nCz)(a)^z(bx)^z
2
Q
Binomial expansion validity
A
bx/a < 1
3
Q
Nth term
A
Un = a + (n-1)d
a = first term
d = difference
4
Q
Sigma notation
A
Top number is nth term to add up to
Bottom number: n=z
sum of sequence from one nth term to another
5
Q
Arithmetic sequences
A
1,5,9,13,17
a, a+d, a+2d, a+3d, a+4d
a = first term
d = difference
6
Q
Nth term arithmetic sequences
A
Un = a + (n-1)d
7
Q
Sum to nth term arithmetic
A
l = last term
a = first term
n = nth term
d = difference
s = sum
8
Q
Nth term geometric sequences
A
Un = a x r^(n-1)