Question

Rohit is on his way to visit your Grandma, who lives at the end of the state.It's her birthday, and he want to give her the cakes that he has made.Between his place and her grandma house, he need to cross 7 toll bridges.
Before you can cross the toll bridge, you need to give them half of the cakes you are carrying, but as they are kind trolls, they each give you back a single cake.

How many cakes do rohit have to carry with him so he can reach his grandma home with exactly 2 cakes?

Answer 1

@dan815 @ganeshie8

Answer 2

we can write a function for n tolls

Answer 3

dy/dx=y/2+1

Answer 4

y(7)=2

Answer 5

let x be the number of tolls and y be the number of cakes

Answer 6

we solving for y(0)

Answer 7

not sure if using a continous function is valid though since its a discrete game

Answer 8

another simple way is to go backwards

Answer 9

\[a_{n+1} = \dfrac{a_n}{2} + 1\]

Answer 10

it looks like geometric series...

Answer 11

oh 2 cakes!??

Answer 12

u tricky bunny

Answer 13

is the answer just 2 cakes???

Answer 14

if he starts with 2 cakes no matter what hte toll, he can maintain 2 cakes at every end of hte toll

Answer 15

yes

Answer 16

there are other solutions too though probably

Answer 17

i have another problem if you alls re interested more probability

Answer 18

lol, dan.

Answer 19

Whoops, they return one cake. In that case, we'll have the + sign instead of the - sign.