# Find the nth term rule for 10,15, 22.5, 33.75, 50.63

Tiana Hill 2022-10-02 Answered
Find the nth term rule for 10,15, 22.5, 33.75, 50.63
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You'll find that the answer r=1.5 (r for ratio)
The first term is called ${u}_{0}=10$
So the nth term is called ${u}_{n-1}$ and it takes n−1 multiplications to get there from ${u}_{0}$, so:
nth term $={u}_{n-1}={u}_{0}×{r}^{n-1}$
Or, in your case:
nth term $={u}_{n-1}=10×{1.5}^{n-1}$