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Geometric sequences help

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nid404:
 Fatima invests $100 per month for a complete year, with interest added every month at a rate of 1/2% per month at the end of the month. How much would she have to invest at the beginning of the year to have the same total amount after the complete year?


There has to be something in addition to the normal formula for sum of sequences
Please tell me how to solve this

Ans-1167.70

Saladin:
The question does not make sense. Like, you want the same amount at the end of the year??? Could you give me the original question please, or the past exam paper from which you got it from.

astarmathsandphysics:
what do you mean by the same total amount?
if she has A at the start it would be something like A*1.005^12 +100(1-1.005^12)/(1-1.005) =2A but I am not sure if it should be 2A. Can you make the question a bit clearer?

Saladin:
thats exactly what I did, and I got 21201, as R.

astarmathsandphysics:
Do you mean the same total amount again? in which case it should be 2A, but I dont get 1157.7 for A

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