What equation do you use to find out the total amount on day 30?

Question

On your first day of work, you get $1. On your second day of work, you get $4. On your third day of work, you get $9. On your fourth day of work, you get $16. It continues this way for 30 days and then once you’ve completed the 30 days you receive a completion bonus of $500,000. 

 

What equation do you use to find out how much you have in total after the 30 days not just how much you will make on the 30th day? 

Answer 1

Sum of squares is:

S_n = (n(n + 1)(2n + 1)) / 6

 

Calculate for n = 30 and answer