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Homework 3. Sequences

Let the sequence be defined by $u_0 = 2$ and $u_{n+1} = 0.5\,u_n + 3$.

1. Compute the first terms.

2. Show that the following sequence is geometric:

So the sequence is geometric with common ratio $q = 0.5$.

Revision sheet. Derivatives

Common derivatives

Remember. Always check where the function is differentiable first.

Lab 2. Measuring g in free fall

Model

Measurements

Conclusion

Both measurements give $g \approx 9.8\ \text{m}\cdot\text{s}^{-2}$.