What is the formula for compoundly quartely growth of an inv

What is the formula for compoundly quartely growth of an investment, but the investment increases by the same n each month.

For example, $1000 is invested each month for 20 years into a 2% quartely compounded account. What will the value be? or would I need to do this process 20 times for each year, or 80 for each quarter?

Solution

Here the interest rate is given quarterly so you need to calculate is quarterly for 20 years that is 80 quarter.

in the example it is

,1000*((102/100)⁴)²⁰

is the total amount after 20 year