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You deposit 1000 dollars in an account with a bimonthly (every two months) compounding interest rate of 10%. If at the end of every two-month

You deposit 1000 dollars in an account with a bimonthly (every two months) compounding interest rate of 10%.

If at the end of every two-month period you deposit 100 dollars in your account, how many months will it take you to surpass 2000 dollars? The hint is to use geometric series. Please show work

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