share half with your friend

Calculus Level 2

Both you and your friend have gone to a coffee shop and have made a deal that both of you will share half of the price.You have ordered one cup of coffee and told your friend that both of you will drink half of the remaining portion of the coffee in the cup and pass it to the other.Suppose your friend is not so good in mathematics and he/she agrees with your deal. Now you start to drink first and then pass it to your friend and it goes on for infinite time to finish. Ultimately who will drink greater amount (in fraction of the total amount) and what is that amount?

you.the amount is 5/6 both of you will drink the same amount your friend. the amount is 2/3 you.the amount is 2/3

Amiya Mishra by Amiya Mishra , 27, India

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1 solution

Amiya Mishra
May 29, 2015

Mathematically this gives an infinite series which sums over to give the answer2/3

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