arithmetic and geometric sequences
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19 Terms
infinite sequence
unlimited sets of numbers
finite sequence
function with limited amount of numbers
explicit formula
plug in numbers
factorial expression
n! / (n+1)!
what is the bottom?
lower limit; a_(1)
what is the top
upper limit; a_(n)
how do you find a_(1) and a_(n) in a summation??
plug into formula →
what is d in arithmetic sequences
common difference; subtraction
what is r in geometric sequences
common ratio; division
arithmetic formula
a_(n) = a_(1) + (n-1) d
arithmetic sum formula
S_(n) = n/2 (a_(1) + a_(n))
what is the difference betwen d and r
d is arithmetic; r is geometric
geometric formula
a_(n) = a_(1) (r)^n-1
geometric sum formula
S_(n) = a_(1) (1-r^n/1-r)
Binomial theorem
n_C_r = n!/(n-r)!r!
what can n_C_r also be written as
(n/r)
how do you find pascals triangle
add the two numbers above
how do you solve the number of event thingies
multiply
how do you find probability
fraction
