Compounding Interest formula adding increasing annual contributions

Question

thank you for your time. I have a question about generating a formula similar to this question.

My question is, what would the formula look like if I wanted to contribute $10\%$ of my base salary of $\$90,000$ into an annuity that grows $2\%$ annually, but every year, my overall salary raises by $\$5000$

*** I'd like to know the compound interest formula for the following scenario:

P = Initial Amount i = yearly interest rate A = yearly contribution or deposit added. n = the deposits will be made for 10 consecutive years. F = final amount obtained.

I start with an initial amount and an yearly interest rate applied will be applied to it. Then, every year a contribution/deposit is made at the end of the period, that is, after the interest is applied to the previous amount. No withdrawals are made. ***

Compound Interest Formula adding annual contributions

Here is a link to the formulas.

Welcome to MSE. Your question is phrased as an isolated problem, without any further information or context. This does not match many users' quality standards, so it may attract downvotes, or be closed. To prevent that, please edit the question. This will help you recognize and resolve the issues. — K. Makabre, Jun 06 '23 at 21:02
The first contribution $$9000$ grows for $n$ years, the second contribution $$9500$ grows for $n-1$ years, ..., lastly the $n$th contribution $$8500+$500n$ grows for $1$ year. You can derive a formula for the Future Value as an arithmetico-geometric sequence sum. — peterwhy, Jun 06 '23 at 22:01
Quick beginner guide for asking a well-received question + please avoid "no clue" questions. — Anne Bauval, Jun 15 '23 at 13:14

Compounding Interest formula adding increasing annual contributions

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