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# Advanced Math/Original Amount - Capital follow-up

Question
QUESTION: The initial amount of capital.  Sorry for the omission.  Thanks again.

ANSWER: I don't understand the question.
He starts with C in his account, then adds C/3 over the next three years. At the end of three years the account has
C + 3(C/3) - 15,000 = 2C - 15,000
It is not possible for the capital to double in three years, unless he makes no withdrawals.

---------- FOLLOW-UP ----------

QUESTION: If the capital was the current amount instead of initial, could the problem be solved then?  Thanks.

Each year he increases the capital account by ⅓ of its current balance.

At the end of the third year, the balance is twice the starting capital:
Starting capital = %55,500.
Balance, end of year 3: %111,000.00

---------- FOLLOW-UP ----------

QUESTION: I don't understand the following:

How the 4/3 is obtained.

https://www.flickr.com/photos/dwread/20389863785/:  2nd and third step.   Thanks again.

If you increase x by ⅓ of x, the result is x + ⅓x = (4/3)x.
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Deriving the equation for capital at the end of year n:
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Expanded calculation of capital at the end of year 3:
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#### Janet Yang

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