HELP ASAPP SERIOUS

Well, try to find the difference. We have 5 terms from 16 to 24, and the difference is 8. so, each step must be increasing by 8/5. This gives the order:

$23rd: 16\\ 24th: 16\frac{8}{5}\\ 25th: 16\frac{8\cdot2}{5}\\ 26th: 16\frac{8\cdot3}{5}\\$

We have a pattern, and that is that the answer for a given sequence is for any term $n$, we have $16+\frac{8*(n-23)}{5}$. Try numbers out! And most importantly, plug 43 into that expression. What do you get?

multiply  r^5   x 16   to get to 24

      24 =  16 r^5        r = $\sqrt[5]{24/16}$

$\sqrt[5]{24/16}$ )²⁰  * 16 = 81