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Mathematics 20 Online
OpenStudy (anonymous):

Male bees hatch from unfertilized eggs and so have a mother but no father. Female bees hatch from fertilized eggs. How many ancestors does a male bee have in the twelfth generation back? How many of these are males?

OpenStudy (akshay_budhkar):

OMG!!!! dalvoron has taken an oath of asking confusing complicated but interesting questions.... lol!!!

OpenStudy (anonymous):

I can try to clear up any confusions you have :)

OpenStudy (anonymous):

But what is the Relation Between Unfertilized and Father

OpenStudy (anonymous):

lol

OpenStudy (anonymous):

is it true or just for question

OpenStudy (anonymous):

As far as I know, it's just for the question. It may true though.

OpenStudy (anonymous):

*may be

OpenStudy (akshay_budhkar):

wait dalvoron.. i am trying

OpenStudy (anonymous):

How about 17

OpenStudy (anonymous):

No that is mother

OpenStudy (anonymous):

how about 9 males in 12

OpenStudy (anonymous):

in 12th generation

OpenStudy (anonymous):

Nopes

OpenStudy (anonymous):

OpenStudy (anonymous):

10 males then?

OpenStudy (anonymous):

You're out by an order of magnitude or so :P

OpenStudy (akshay_budhkar):

lol!!!!!!!!

OpenStudy (akshay_budhkar):

cant wolfram alpha solve this? lol

OpenStudy (anonymous):

I'll draw a small family tree, maybe it will help: F M--F Third generation back | | / M-----F Second generation back \ / | F First generation back | M

OpenStudy (anonymous):

Maybe you notice a pattern in the number at each generation? A sequence even?

OpenStudy (anonymous):

My diagram refers to M as males, and F as females, rather than mother and father by the way :P

OpenStudy (anonymous):

oh sorry i was out for a minute got back yea i got that thanks i took it wrong

OpenStudy (anonymous):

ok i got one first there are 0 then 1 then 1 then 2 then 3 then 5 a fibonacci

OpenStudy (anonymous):

Boom, correct. How many will be in the 12th generation then? How many of them will be males?

OpenStudy (anonymous):

0 1 1 2 3 5 8 13 21 34 55 89

OpenStudy (anonymous):

damn 232

OpenStudy (anonymous):

and i got 9 lol i got my concept of generation cleared

OpenStudy (anonymous):

I had 233. How many of those 233 were males?

OpenStudy (anonymous):

HA I am not getting it ahh : (

OpenStudy (anonymous):

Count the males in the second, third, fourth, and fifth generations, and you might see a pattern.

OpenStudy (anonymous):

1, 1,2,3,5,8,13,21,34,55 it can't be right

OpenStudy (anonymous):

I think it can ;) When you hit the 12th generation, you get 89.

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