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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Iademarco11

Answered 2022-10-03
Author has **10** answers

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 $={u}_{n-1}={u}_{0}\times {r}^{n-1}$

Or, in your case:

nth term $={u}_{n-1}=10\times {1.5}^{n-1}$

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 $={u}_{n-1}={u}_{0}\times {r}^{n-1}$

Or, in your case:

nth term $={u}_{n-1}=10\times {1.5}^{n-1}$

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