How to Calculate Interest in a Variable Interest Account?

AI Thread Summary
To calculate the amount in a variable interest account where the interest increases annually, a general formula can be derived. The formula accounts for the initial deposit and the cumulative interest over the years, with each year's interest rate increasing by 1%. The final amount after n years can be expressed as a function of the initial deposit and the sum of the interest rates. The discussion concludes with the user finding the solution shortly after posting.
DjDukes
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Is there a simple formula to find the amount of money in an account given a situation like this...

You deposit x into the account
Each year you get interest
Year one the interest is 1%
Year two the interest is 2%
Year three the interest if 3%
and so on

Is it possible to get a simple general formula for the amount of money in the account at the end of any year n?
 
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DjDukes said:
Is there a simple formula to find the amount of money in an account given a situation like this...

You deposit x into the account
Each year you get interest
Year one the interest is 1%
Year two the interest is 2%
Year three the interest if 3%
and so on

Is it possible to get a simple general formula for the amount of money in the account at the end of any year n?

Never mind I got it like 5 mins after posting.
 

Thread 'Trigonometry problem of interest'

Seemingly by some mathematical coincidence, a hexagon of sides 2,2,7,7, 11, and 11 can be inscribed in a circle of radius 7. The other day I saw a math problem on line, which they said came from a Polish Olympiad, where you compute the length x of the 3rd side which is the same as the radius, so that the sides of length 2,x, and 11 are inscribed on the arc of a semi-circle. The law of cosines applied twice gives the answer for x of exactly 7, but the arithmetic is so complex that the...
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