Question

how do you find the recursive formula for 0 ,10, 15, 17.5, 18.75, ...

Answer 1

first amount = 0
second amount increases in 10
third amount increases in half of 10, then 10 + 5
fourth amount increases in half of 5, then 15 + 2.5
fifth amount increases in half of 2.5, then 17.5 + 1.25
you have:
0
10
10 + 10/2
15 + 10/4
17.5 +10/8
Can you figure out?
\[a _{0} = 0\]
\[a _{n} = a _{n-1} + \frac{ 10 }{ \left( 2 \right)^{n-1}}\]