Question

did we ever figure out a pattern or recursive formula for what was it:
2,4,6,8,16,...
and if you don't know what i'm talking about it's cool no worries lol

Answer 1

time every thing by 2

Answer 2

2n
2*1=2
2*2=4
2*3=6
2*4=8
2*5=10 does not work for the 5th term

Answer 3

i could never figure it out =/

Answer 4

the 16 throws everything off

Answer 5

or the 6
2^1=2
2^2=4
2^3=8
2^4=16

Answer 6

i just came up with a cheap idea.....one sec <.<

Answer 7

never mine.. lol

Answer 8

nt shasha :)

Answer 9

i will reward everyone

Answer 10

i wonder if there is a program that can detect a pattern

Answer 11

ii might have gotten an answer <.< gonna test it in a sec

Answer 12

go superjoemath!

Answer 13

i dont deserve any praise lol, i basically abused the fact that we dont know what the end of the sequence looks like....so i made up my own sequence and made a formula for it >.>

Answer 14

ok it can't be that bad
lets hear it

Answer 15

hahaha it worked >.> heres the formula, this gives the nth term of the sequence, and for n = 1,...,5, it gives the numbers above <.<

Answer 16

holy, how did you come to that

Answer 17

\[f_n=f_{n-1}+f_{n-2}+2^{n-2}, for n\ge 3, f_1=2,f_2=4\]
i think this works too but its stupid
let me look at yours

Answer 18

honestly...id rather not explain, its a pretty ridiculous process >.>

Answer 19

nope mine doesn't work

Answer 20

http://www.wolframalpha.com/input/?i=-%2823%2F12%29%2B7%2F2*2^n-3%2F2*3^n%2B5%2F12*4^n-1%2F20*5^n%2C+n+%3D+1
switch the n = x to whatever term, to make sure it works.

Answer 21

thats crazy lol

Answer 22

yay,1000th medal

Answer 23

i think the sequence that guy was working on was not meant for him

Answer 24

there are infinitely many formulas i can make to fit those first five numbers, all depending on how i want the tail of the sequence to turn out.

Answer 25

if you know how to change:
\[F_{n+2} = F_{n+1} + F_n\]
into:
\[F(n) = \frac{1}{\sqrt{5}}[(\frac{1+\sqrt{5}}{2})^{n}-(\frac{1-\sqrt{5}}{2})^{n}]\]
then the process i used is similar-ish

Answer 26

you win joe
you are are the more evolved :(

Answer 27

just because i know more about one topic doesnt mean i win >.< im super super super weak when it comes to multi-variable calc. no idea how to do anything with it >.< thats why i dont answer calc questions lol

Answer 28

i forgot alot of math
i guess if you don't use it you lose it
:(

Answer 29

hell, even single variable calc, scares me to death!

Answer 30

like linear algebra and differential equations

Answer 31

are you teacher?

Answer 32

Linear Algebra is beast <.< the above technique is based off linear algebra

Answer 33

i teach but don't tell no one

Answer 34

joe what do you do

Answer 35

im a lowly under grad >.< still working on my degree.

Answer 36

lol

Answer 37

nothing but a college dropout trying second time <.<

Answer 38

somehow i got my masters

Answer 39

master in math?

Answer 40

yes

Answer 41

thats awesome O.o

Answer 42

im jealous o.O

Answer 43

but i don't think im a math person
i'm more interested in cryptography

Answer 44

like john nash?

Answer 45

i want to get good at number theory and group theory and linear algebra
i only had elementary number theory
and i can't remember linear algebra and group theory much
i really wish my school focused more on number theory
that would had been amazinf

Answer 46

im thinking about taking a class in cryptography, i hope i can fit it in to my degree plan.

Answer 47

my school has a horrible math dept >.< i have to buy books and read to keep up with the rest of the world >.>

Answer 48

i should had did that

Answer 49

i think they can only teach you so much
you don't come out learning everything you should

Answer 50

85-90% of students in the math dept are education majors, they only care about what they will need to teach in high school and thats it

Answer 51

i don't want to teach
i think it would be cool to work at the nsa

Answer 52

linear is last math class I am going to take

Answer 53

Linear is amazing >.>

Answer 54

joe is really good at linear
ask him all the questions you like

Answer 55

i have food
peace

Answer 56

next fall I will take diffiq and in spring Linear algebra

Answer 57

im taking Number Theory, Matrix Theory, and Diff Eq next semester...im a little worried.