formulas you should know babe (pure) Flashcards
1
Q
proving from first principle formula
A
f(x+h) - f(x) / h
2
Q
working backwards from completing the square
A
a(x+p)^2 -q
3
Q
length of line with two coordinates
A
(y-y)^2 + (x-x)^2 ALL square rooted
4
Q
how to get vertical asymptote
A
let denominator = 0
5
Q
horizontal asymptote
A
get rid of anything + / - to x, then cancel out x
6
Q
x intercept
A
let y =0
7
Q
nth term (recursive definition)
A
Un = Un-1 + d
8
Q
nth term
A
Un = a + (n-1)d
9
Q
arithmetic series longer formula
A
Sn = n/2 (2a + (n-1)d)
10
Q
arithmetic series shorter formula
A
Sn = n/2 (a+l)
11
Q
geometric sequence (standard form)
A
Un = ar^(n-1)
12
Q
geometric series when r > 1
A
Sn = a ( r^n - 1 ) / r-1
13
Q
geometric series when r < 1
A
Sn = a ( 1 - r^n ) / 1 - r
14
Q
sum to infinity of geometric series
A
a / 1 - r
15
Q
periodic sequence (periodic of order 3)
A
an+1 = k - 3k/ an
