What is my mistake here? I was trying to find F/G factor here

Asked Oct 16 '22 at 14:26

Active Oct 16 '22 at 16:25

Viewed 39 times

I was trying to derive an expression for F/G factor here for homework. I have attached my working in this picture. I always end up with a (1+i) in the numerator which is not in the actual formula. What am I doing wrong here? I have been working on this all day long and have not been able to figure it out.

edited Oct 16 '22 at 16:25

asked Oct 16 '22 at 14:26

Syed Tallay Haidar

1

Write out all terms in the case $n=2$ or $n=3$. – Kurt G. Oct 16 '22 at 14:50
i did it for n=3. – Syed Tallay Haidar Oct 16 '22 at 15:04
Should be right. Probably a mistake in that "actual formula" then. – Kurt G. Oct 16 '22 at 15:09
It could be a difference in assumptions. For example, if you have an account earning an interest rate $i$ compounded annually, and you make a deposit of amount $G$ every year, you'll end up with a greater balance (greater by a factor of $1+i$) if you make those deposits at the beginning of each year than if you make them at the end of each year. – David K Oct 16 '22 at 15:20
ah i see that could be the case. – Syed Tallay Haidar Oct 16 '22 at 15:29
What is the actual formula? Are both calculations your attempts or is the first one a given solution? – callculus42 Oct 16 '22 at 15:36
i added the formula found online and in my book. – Syed Tallay Haidar Oct 16 '22 at 16:25

What is my mistake here? I was trying to find F/G factor here

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