Ramsden Flashcards
(20 cards)
1
Q
Common ratio (r)
A
Find each term by multiplying the previous one by common ratio
2
Q
Nth term of geometric progression
A
Un = ar ^ n-1
3
Q
General geometric progression can be written as
A
A, ar, ar^2, ar^3, β¦
4
Q
Sum of n terms geometric
A
Sn = a(r^n - 1) / r-1
5
Q
Sum to infinity geometry
A
As n tends to infinity
Un tends to 0
If β1 < r < 1
S = a / 1-r
6
Q
A sequence is strictly increasing if
A
π’π < π’π+1
7
Q
A sequence is increasing if
A
π’π β€ π’π+1
8
Q
A sequence is strictly decreasing if
A
π’π > π’π+1
9
Q
A sequence is decreasing if
A
π’π β₯ π’π+1
10
Q
a^x = b
A
log a (b) = x
11
Q
log x + log y =
A
log xy
12
Q
log x - log y =
A
log x/y
13
Q
log x^n =
A
n log x
14
Q
Un =
A
a + (n-1)d
15
Q
a^x x a^y
A
a ^ x+y
16
Q
a^x / a^y
A
a ^ x-y
17
Q
(A^x)^y
A
A^ xy
18
Q
A^ -1
A
1/a^x
19
Q
A ^ x/y
A
y square root (a)^x
20
Q
(A/B) ^x
A
A^x / B^x
